All Stories

  1. On the lower and upper solutions method for mean curvature problems with general boundary conditions

    Article • Journal of Mathematical Analysis and Applications, January 2026, Elsevier

    Professor Pierpaolo Omari

  2. Positive solutions of the prescribed mean curvature equation with non-homogeneous mixed boundary conditions

    Article • Journal of Differential Equations, October 2025, Elsevier

    Professor Pierpaolo Omari

  3. Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials

    Article • Journal of Differential Equations, November 2023, Elsevier

    Professor Pierpaolo Omari

  4. Infinitely Many Regular Weak Solutions for Odd Symmetric Prescribed Mean Curvature Problems

    Article • Journal of Geometric Analysis, April 2023, Springer Science + Business Media

    Professor Pierpaolo Omari

  5. Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle

    Article • Journal of Mathematical Analysis and Applications, February 2023, Elsevier

    Professor Pierpaolo Omari

  6. Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator

    Article • Applied Mathematics Letters, April 2022, Elsevier

    Professor Pierpaolo Omari

  7. On the periodic Ambrosetti–Prodi problem for a class of ODEs with nonlinearities indefinite in sign

    Article • Applied Mathematics Letters, January 2021, Elsevier

    Professor Pierpaolo Omari

  8. Positive solutions of indefinite logistic growth models with flux-saturated diffusion

    Article • Nonlinear Analysis, December 2020, Elsevier

    Professor Pierpaolo Omari

  9. Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

    Article • Open Mathematics, October 2020, De Gruyter

    Professor Pierpaolo Omari

  10. Qualitative analysis of a curvature equation modelling MEMS with vertical loads

    Article • Nonlinear Analysis Real World Applications, October 2020, Elsevier

    Professor Pierpaolo Omari

  11. Positive solutions of superlinear indefinite prescribed mean curvature problems

    Article • Communications in Contemporary Mathematics, July 2020, World Scientific Pub Co Pte Lt

    Professor Pierpaolo Omari

  12. Regular Versus Singular Solutions in a Quasilinear Indefinite Problem with an Asymptotically Linear Potential

    Article • Advanced Nonlinear Studies, April 2020, De Gruyter

    Prof. Dr. Julian Lopez-Gomez, Professor Pierpaolo Omari

  13. Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator

    Article • Journal of Differential Equations, January 2020, Elsevier

    Professor Pierpaolo Omari

  14. Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

    Article • Advanced Nonlinear Studies, August 2019, De Gruyter

    Prof. Dr. Julian Lopez-Gomez, Professor Pierpaolo Omari

  15. Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry

    Article • Nonlinear Analysis, April 2019, Elsevier

    Professor Pierpaolo Omari

  16. A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis

    Article • Discrete and Continuous Dynamical Systems - S, January 2018, American Institute of Mathematical Sciences (AIMS)

    Professor Pierpaolo Omari

  17. Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem

    Article • Nonlinear Analysis, May 2017, Elsevier

    Professor Pierpaolo Omari

  18. Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach

    Article • Journal of Differential Equations, February 2017, Elsevier

    Professor Pierpaolo Omari

  19. The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz–Minkowski space

    Article • Georgian Mathematical Journal, January 2017, De Gruyter

    Professor Pierpaolo Omari

  20. Subharmonic solutions of the prescribed curvature equation

    Article • Communications in Contemporary Mathematics, March 2016, World Scientific Pub Co Pte Lt

    Professor Pierpaolo Omari

  21. The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions

    Article • Journal of Differential Equations, March 2016, Elsevier

    Professor Pierpaolo Omari

  22. Asymmetric Poincaré inequalities and solvability of capillarity problems

    Article • Journal of Functional Analysis, August 2014, Elsevier

    Professor Pierpaolo Omari

  23. A one-dimensional prescribed curvature equation modeling the corneal shape

    Article • Boundary Value Problems, January 2014, Springer Science + Business Media

    Professor Pierpaolo Omari

  24. Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space

    Article • Journal of Mathematical Analysis and Applications, September 2013, Elsevier

    Professor Pierpaolo Omari

  25. Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions

    Article • Nonlinear Analysis Real World Applications, December 2012, Elsevier

    Professor Pierpaolo Omari

  26. Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation

    Article • Discrete and Continuous Dynamical Systems, September 2012, American Institute of Mathematical Sciences (AIMS)

    Professor Pierpaolo Omari

  27. Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation

    Article • Advanced Nonlinear Studies, January 2012, De Gruyter

    Professor Pierpaolo Omari

  28. MULTIPLE BOUNDED VARIATION SOLUTIONS OF A PERIODICALLY PERTURBED SINE-CURVATURE EQUATION

    Article • Communications in Contemporary Mathematics, October 2011, World Scientific Pub Co Pte Lt

    Professor Pierpaolo Omari

  29. The periodic problem for curvature-like equations with asymmetric perturbations

    Article • Journal of Differential Equations, October 2011, Elsevier

    Professor Pierpaolo Omari

  30. Multiple bounded variation solutions of a capillarity problem

    Article • January 2011, American Institute of Mathematical Sciences (AIMS)

    Professor Pierpaolo Omari

  31. Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation

    Article • January 2011, American Mathematical Society (AMS)

    Professor Pierpaolo Omari

  32. Positive solutions of the Dirichlet problem for the prescribed mean curvature equation

    Article • Journal of Differential Equations, October 2010, Elsevier

    Professor Pierpaolo Omari

  33. Classical and non-classical solutions of a prescribed curvature equation

    Article • Journal of Differential Equations, December 2007, Elsevier

    Professor Pierpaolo Omari

  34. MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM

    Article • Communications in Contemporary Mathematics, October 2007, World Scientific Pub Co Pte Lt

    Professor Pierpaolo Omari

  35. Period two implies chaos for a class of ODEs

    Article • Proceedings of the American Mathematical Society, July 2007, American Mathematical Society (AMS)

    Professor Pierpaolo Omari

  36. Positive solutions of elliptic problems with locally oscillating nonlinearities

    Article • Journal of Mathematical Analysis and Applications, November 2006, Elsevier

    Professor Pierpaolo Omari

  37. Chapter 3 A Qualitative Analysis, via Lower and Upper Solutions, of First Order Periodic Evolutionary Equations with Lack of Uniqueness

    Article • January 2006, Elsevier

    Professor Pierpaolo Omari

  38. ON THE AMBROSETTI-PRODI PROBLEM FOR FIRST ORDER SCALAR PERIODIC ODES

    Article • June 2005, World Scientific Pub Co Pte Lt

    Professor Pierpaolo Omari

  39. Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain

    Article • Advanced Nonlinear Studies, January 2004, De Gruyter

    Professor Pierpaolo Omari

  40. Old and New Results for First Order Periodic ODEs without Uniqueness: a Comprehensive Study by Lower and Upper Solutions

    Article • Advanced Nonlinear Studies, January 2004, De Gruyter

    Professor Pierpaolo Omari

  41. Singularly perturbed higher order periodic boundary value problems

    Article • Journal of Mathematical Analysis and Applications, January 2004, Elsevier

    Professor Pierpaolo Omari

  42. Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions

    Article • Applied Mathematics and Computation, March 2003, Elsevier

    Professor Pierpaolo Omari

  43. On a p-Laplace Neumann problem with asymptotically asymmetric perturbations

    Article • Nonlinear Analysis, November 2002, Elsevier

    Professor Pierpaolo Omari

  44. Unstable Periodic Solutions of a Parabolic Problem in the Presence of Non-well-ordered Lower and Upper Solutions

    Article • Journal of Functional Analysis, August 2000, Elsevier

    Professor Pierpaolo Omari

  45. Nonresonance to the right of the first eigenvalue for the one-dimensional p-Laplacian

    Article • Nonlinear Analysis, November 1999, Elsevier

    Professor Pierpaolo Omari

  46. A note on periodic solutions of a nonautonomous generalized Liénard equation

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1998, Springer Science + Business Media

    Professor Pierpaolo Omari

  47. Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential∗

    Article • Communications in Partial Differential Equations, January 1996, Taylor & Francis

    Professor Pierpaolo Omari

  48. Nonresonance Conditions on the Potential with Respect to the Fučik Spectrum for the Periodic Boundary Value Problem

    Article • Rocky Mountain Journal of Mathematics, December 1995, Rocky Mountain Mathematics Consortium

    Professor Pierpaolo Omari

  49. On a semilinear elliptic Neumann problem with asymmetric nonlinearities

    Article • Transactions of the American Mathematical Society, July 1995, American Mathematical Society (AMS)

    Professor Pierpaolo Omari

  50. On a Semilinear Elliptic Neumann Problem with Asymmetric Nonlinearities

    Article • Transactions of the American Mathematical Society, July 1995, JSTOR

    Professor Pierpaolo Omari

  51. Nonresonance Conditions on the Potential for a Semilinear Elliptic Problem

    Article • Journal of Differential Equations, February 1994, Elsevier

    Professor Pierpaolo Omari

  52. Non-ordered lower and upper solutions in semilinear elliptic problems

    Article • Communications in Partial Differential Equations, January 1994, Taylor & Francis

    Professor Pierpaolo Omari

  53. Resonance at two consecutive eigenvalues for semilinear elliptic equations

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1993, Springer Science + Business Media

    Professor Pierpaolo Omari

  54. Remarks on the lower and upper solutions method for second- and third-order boundary value problems

    Article • Applied Mathematics and Computation, June 1993, Elsevier

    Professor Pierpaolo Omari

  55. Nonresonance conditions on the potential for a second-order periodic boundary value problem

    Article • Proceedings of the American Mathematical Society, January 1993, American Mathematical Society (AMS)

    Professor Pierpaolo Omari

  56. Nonresonance Conditions on the Potential for a Second-Order Periodic Boundary Value Problem

    Article • Proceedings of the American Mathematical Society, January 1993, JSTOR

    Professor Pierpaolo Omari

  57. Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems

    Article • Applied Mathematics and Computation, July 1992, Elsevier

    Professor Pierpaolo Omari

  58. A necessary and sufficient condition of nonresonance for a semilinear Neumann problem

    Article • Proceedings of the American Mathematical Society, February 1992, American Mathematical Society (AMS)

    Professor Pierpaolo Omari

  59. A Necessary and Sufficient Condition of Nonresonance for a Semilinear Neumann Problem

    Article • Proceedings of the American Mathematical Society, February 1992, JSTOR

    Professor Pierpaolo Omari

  60. A quasi-Newton method for solving fixed point problems in Hilbert spaces

    Article • Numerische Mathematik, December 1991, Springer Science + Business Media

    Professor Pierpaolo Omari

  61. Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance

    Article • Journal of Differential Equations, November 1991, Elsevier

    Professor Pierpaolo Omari

  62. A Projective Newton Method for Semilinear Operator Equations in Banach Spaces

    Article • IMA Journal of Numerical Analysis, January 1990, Oxford University Press (OUP)

    Professor Pierpaolo Omari

  63. Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations

    Article • Nonlinear Analysis, January 1990, Elsevier

    Professor Pierpaolo Omari

  64. On the fast convergence of a Galerkin-like method for equations of the second kind

    Article • Mathematische Zeitschrift, December 1989, Springer Science + Business Media

    Professor Pierpaolo Omari

  65. Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems

    Article • Journal of Mathematical Analysis and Applications, October 1989, Elsevier

    Professor Pierpaolo Omari

  66. An Iterative Variant of the Degenerate Kernel Method for Solving Fredholm Integral Equations

    Article • Mathematische Nachrichten, January 1989, Wiley

    Professor Pierpaolo Omari

  67. On a continuation lemma for the study of a certain planar system with applications to liénard and rayleigh equations

    Article • Results in Mathematics, August 1988, Springer Science + Business Media

    Professor Pierpaolo Omari

  68. Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1988, Cambridge University Press

    Professor Pierpaolo Omari

  69. A note on nonlinear oscillations at resonance

    Article • Acta Mathematica Sinica English Series, December 1987, Springer Science + Business Media

    Professor Pierpaolo Omari

  70. Iterative solution of integral equations by a quasi-Newton method

    Article • Journal of Computational and Applied Mathematics, November 1987, Elsevier

    Professor Pierpaolo Omari

  71. Periodic solutions of the Liénard equation with one-sided growth restrictions

    Article • Journal of Differential Equations, April 1987, Elsevier

    Professor Pierpaolo Omari

  72. On the existence of periodic solutions of forced Liénard differential equations

    Article • Nonlinear Analysis, January 1987, Elsevier

    Professor Pierpaolo Omari

  73. A monotone method for constructing extremal solutions of second order scalar boundary value problems

    Article • Applied Mathematics and Computation, April 1986, Elsevier

    Professor Pierpaolo Omari

  74. Sharp non-resonance conditions for periodically perturbed Li�nard systems

    Article • Archiv der Mathematik, April 1986, Springer Science + Business Media

    Professor Pierpaolo Omari

  75. Existence results for forced nonlinear periodic BVPs at resonance

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1985, Springer Science + Business Media

    Professor Pierpaolo Omari

  76. On forced nonlinear oscillations in nth order differential systems with geometric conditions

    Article • Nonlinear Analysis, July 1984, Elsevier

    Professor Pierpaolo Omari