All Stories

  1. Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian

    Article • Fractional Calculus and Applied Analysis, May 2025, Springer Science + Business Media

    PhD José Carmona Tapia

  2. Identification of parameters in ordinary differential equation systems using artificial neural networks

    Article • Revista San Gregorio, February 2025, Universidad San Gregorio de Portoviejo

    PhD José Carmona Tapia

  3. Bifurcation in two parameters for a quasilinear Schrödinger equation

    Article • Electronic journal of qualitative theory of differential equations, January 2025, University of Szeged

    PhD José Carmona Tapia

  4. REGULARIZING EFFECT IN SINGULAR SEMILINEAR PROBLEMS

    Article • Mathematical Modelling and Analysis, October 2023, Vilnius Gediminas Technical University

    PhD José Carmona Tapia

  5. A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms

    Article • Journal of Differential Equations, September 2023, Elsevier

    PhD José Carmona Tapia

  6. New approximate analytical solution of the diode-resistance equation

    Article • AEU - International Journal of Electronics and Communications, May 2021, Elsevier

    PhD José Carmona Tapia

  7. Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions

    Article • Fractional Calculus and Applied Analysis, August 2020, De Gruyter

    PhD José Carmona Tapia, Dr. Eduardo Colorado, Alejandro Ortega

  8. Regularity of solutions to a fractional elliptic problem with mixed Dirichlet–Neumann boundary data

    Article • Advances in Calculus of Variations, January 2020, De Gruyter

    PhD José Carmona Tapia

  9. The Principal Eigenvalue for a Class of Singular Quasilinear Elliptic Operators and Applications

    Article • January 2020, Springer Science + Business Media

    PhD José Carmona Tapia

  10. Singular quasilinear elliptic problems with changing sign datum: existence and homogenization

    Article • Revista Matemática Complutense, July 2019, Springer Science + Business Media

    PhD José Carmona Tapia

  11. Quasilinear elliptic problems with singular and homogeneous lower order terms

    Article • Nonlinear Analysis, February 2019, Elsevier

    PhD José Carmona Tapia

  12. A uniqueness result for a singular elliptic equation with gradient term

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, June 2018, Cambridge University Press

    PhD José Carmona Tapia

  13. The Gelfand problem for the 1-homogeneous p-Laplacian

    Article • Advances in Nonlinear Analysis, July 2017, De Gruyter

    PhD José Carmona Tapia, Prof Julio D. Rossi

  14. Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth

    Article • Communications in Contemporary Mathematics, April 2017, World Scientific Pub Co Pte Lt

    PhD José Carmona Tapia

  15. Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes

    Article • November 2016, American Institute of Mathematical Sciences (AIMS)

    PhD José Carmona Tapia

  16. Existence of a continuum of solutions for a quasilinear elliptic singular problem

    Article • Journal of Mathematical Analysis and Applications, April 2016, Elsevier

    PhD José Carmona Tapia

  17. A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications

    Article • Nonlinear Analysis, February 2016, Elsevier

    PhD José Carmona Tapia

  18. A Singular Semilinear Elliptic Equation with a Variable Exponent

    Article • Advanced Nonlinear Studies, January 2016, De Gruyter

    PhD José Carmona Tapia

  19. A singular elliptic equation with natural growth in the gradient and a variable exponent

    Article • Nonlinear Differential Equations and Applications NoDEA, September 2015, Springer Science + Business Media

    PhD José Carmona Tapia

  20. Gelfand type quasilinear elliptic problems with quadratic gradient terms

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, March 2014, Elsevier

    PhD José Carmona Tapia

  21. Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems

    Article • Communications in Partial Differential Equations, October 2013, Taylor & Francis

    PhD José Carmona Tapia

  22. Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth

    Article • Nonlinear Analysis, September 2013, Elsevier

    PhD José Carmona Tapia

  23. Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms

    Article • January 2013, American Mathematical Society (AMS)

    PhD José Carmona Tapia

  24. Bifurcation for Quasilinear Elliptic Singular BVP

    Article • Communications in Partial Differential Equations, January 2011, Taylor & Francis

    PhD José Carmona Tapia

  25. Existence and nonexistence of solutions for singular quadratic quasilinear equations

    Article • Journal of Differential Equations, May 2009, Elsevier

    PhD José Carmona Tapia

  26. A nondifferentiable extension of a theorem of Pucci and Serrin and applications

    Article • Journal of Differential Equations, April 2007, Elsevier

    PhD José Carmona Tapia

  27. Elliptic Obstacle Problems With Natural Growth on the Gradient and Singular Nonlinear Term

    Article • Advanced Nonlinear Studies, January 2007, De Gruyter

    PhD José Carmona Tapia

  28. On two problems studied by A. Ambrosetti

    Article • January 2006, European Mathematical Publishing House

    PhD José Carmona Tapia

  29. AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR

    Article • Proceedings of the Edinburgh Mathematical Society, June 2004, Cambridge University Press

    PhD José Carmona Tapia

  30. Quasilinear elliptic problems interacting with its asymptotic spectrum

    Article • Nonlinear Analysis, March 2003, Elsevier

    PhD José Carmona Tapia