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  1. Boundary Regularity for Functions in De Giorgi Classes

    Article • La Matematica, September 2025, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  2. Local boundedness and higher integrability for the sub-critical singular porous medium system

    Article • Mathematische Annalen, May 2025, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  3. Boundary estimates for doubly nonlinear parabolic equations

    Article • Nonlinear Differential Equations and Applications NoDEA, January 2025, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  4. Continuity of the temperature in a multi-phase transition problem. Part II

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, June 2024, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  5. Continuity of the Temperature in a Multi-Phase Transition Problem. Part III

    Article • Journal d Analyse Mathématique, June 2023, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  6. Local bounds of the gradient of weak solutions to the porous medium equation

    Article • Partial Differential Equations and Applications, February 2023, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  7. Partial Differential Equations

    Article • January 2023, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  8. Carleson estimates for the singular parabolic $p$-Laplacian in time-dependent domains

    Article • Rendiconti Lincei Matematica e Applicazioni, February 2022, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  9. In memoriam Emmanuele DiBenedetto (1947–2021)

    Article • Advances in Calculus of Variations, December 2021, De Gruyter

    Prof Ugo Pietro Gianazza

  10. Continuity of the temperature in a multi-phase transition problem

    Article • Mathematische Annalen, September 2021, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  11. A Boundary Estimate for Singular Sub-Critical Parabolic Equations

    Article • International Mathematics Research Notices, December 2020, Oxford University Press (OUP)

    Prof Ugo Pietro Gianazza

  12. Self-improving property of the fast diffusion equation

    Article • Journal of Functional Analysis, December 2019, Elsevier

    Prof Ugo Pietro Gianazza

  13. 3D Multi-Branched SnO2 Semiconductor Nanostructures as Optical Waveguides

    Article • Materials, September 2019, MDPI AG

    Prof Ugo Pietro Gianazza

  14. A Boundary Estimate for Degenerate Parabolic Diffusion Equations

    Article • Potential Analysis, August 2019, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  15. Self-improving property of degenerate parabolic equations of porous medium-type

    Article • American Journal of Mathematics, January 2019, Project Muse

    Prof Ugo Pietro Gianazza

  16. A boundary estimate for singular parabolic diffusion equations

    Article • Nonlinear Differential Equations and Applications NoDEA, June 2018, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  17. Boundary Regularity for the Porous Medium Equation

    Article • Archive for Rational Mechanics and Analysis, May 2018, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  18. Sharp boundedness and continuity results for the singular porous medium equation

    Article • Israel Journal of Mathematics, July 2016, Springer Science + Business Media

    Verena Bögelein, Prof Ugo Pietro Gianazza

  19. The Petrovskiĭ criterion and barriers for degenerate and singular $$p$$ p -parabolic equations

    Article • Mathematische Annalen, April 2016, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  20. $1$-dimensional Harnack estimates

    Article • Discrete and Continuous Dynamical Systems - S, April 2016, American Institute of Mathematical Sciences (AIMS)

    Prof Ugo Pietro Gianazza

  21. A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth

    Article • Advances in Calculus of Variations, January 2016, De Gruyter

    Prof Ugo Pietro Gianazza, Emmanuele DiBenedetto

  22. Boundary estimates for certain degenerate and singular parabolic equations

    Article • Journal of the European Mathematical Society, January 2016, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  23. A Wiener-type condition for boundary continuity of quasi-minima of variational integrals

    Article • manuscripta mathematica, August 2015, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  24. Degenerate and Singular Porous Medium Type Equations with Measure Data

    Article • January 2015, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  25. Continuity estimates for porous medium type equations with measure data

    Article • Journal of Functional Analysis, November 2014, Elsevier

    Verena Bögelein, Prof Ugo Pietro Gianazza

  26. Very weak solutions of singular porous medium equations with measure data

    Article • Communications on Pure &amp Applied Analysis, September 2014, American Institute of Mathematical Sciences (AIMS)

    Verena Bögelein, Prof Ugo Pietro Gianazza

  27. Boundary regularity for degenerate and singular parabolic equations

    Article • Calculus of Variations and Partial Differential Equations, April 2014, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  28. Theoretical and Experimental Analysis of an MPP Detection Algorithm Employing a Single-Voltage Sensor Only and a Noisy Signal

    Article • IEEE Transactions on Power Electronics, November 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Prof Ugo Pietro Gianazza

  29. Porous Medium Type Equations with Measure Data and Potential Estimates

    Article • SIAM Journal on Mathematical Analysis, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Verena Bögelein, Prof Ugo Pietro Gianazza

  30. Analysis and Numerics of Partial Differential Equations

    Article • January 2013, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  31. List of Mathematical Works Authored or Edited by Enrico Magenes

    Article • January 2013, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  32. Logarithmically singular parabolic equations as limits of the porous medium equation

    Article • Nonlinear Analysis, August 2012, Elsevier

    Prof Ugo Pietro Gianazza

  33. On the local behavior of non-negative solutions to a logarithmically singular equation

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

    Prof Ugo Pietro Gianazza

  34. Harnack's Inequality for Degenerate and Singular Parabolic Equations

    Article • January 2012, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  35. Liouville-type theorems for certain degenerate and singular parabolic equations

    Article • Comptes Rendus Mathématique, August 2010, Elsevier

    Prof Ugo Pietro Gianazza

  36. A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations

    Article • Proceedings of the American Mathematical Society, June 2010, American Mathematical Society (AMS)

    Prof Ugo Pietro Gianazza

  37. A new proof of the Hölder continuity of solutions to p-Laplace type parabolic equations

    Article • Advances in Calculus of Variations, January 2010, De Gruyter

    Prof Ugo Pietro Gianazza

  38. Continuity of the saturation in the flow of two immiscible fluids in a porous medium

    Article • Indiana University Mathematics Journal, January 2010, Indiana University Mathematics Journal

    Prof Ugo Pietro Gianazza

  39. Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations

    Article • Discrete and Continuous Dynamical Systems, January 2010, American Institute of Mathematical Sciences (AIMS)

    Prof Ugo Pietro Gianazza

  40. Alternative Forms of the Harnack Inequality for Non-Negative Solutions to Certain Degenerate and Singular Parabolic Equations

    Article • Rendiconti Lincei Matematica e Applicazioni, December 2009, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  41. Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations

    Article • manuscripta mathematica, November 2009, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  42. The Wasserstein Gradient Flow of the Fisher Information and the Quantum Drift-diffusion Equation

    Article • Archive for Rational Mechanics and Analysis, October 2008, Springer Science + Business Media

    Professor Giuseppe Toscani, Prof Ugo Pietro Gianazza

  43. Unequal Contributions from Symmetric Agents in a Local Interaction Model

    Article • Journal of Public Economic Theory, June 2008, Wiley

    Prof Ugo Pietro Gianazza

  44. Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations

    Article • Duke Mathematical Journal, May 2008, Duke University Press

    Prof Ugo Pietro Gianazza

  45. Harnack estimates for quasi-linear degenerate parabolic differential equations

    Article • Acta Mathematica, January 2008, International Press of Boston

    Prof Ugo Pietro Gianazza

  46. Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equations

    Article • Rendiconti Lincei Matematica e Applicazioni, December 2007, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  47. Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations

    Article • Boundary Value Problems, January 2007, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  48. Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations

    Article • Electronic Research Announcements of the American Mathematical Society, August 2006, American Mathematical Society (AMS)

    Prof Ugo Pietro Gianazza

  49. A Harnack inequality for a degenerate parabolic equation

    Article • Journal of Evolution Equations, May 2006, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  50. Parabolic De Giorgi classes of order p and the Harnack inequality

    Article • Calculus of Variations and Partial Differential Equations, April 2006, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  51. Local clustering of the non-zero set of functions in $W^{1,1}(E)$

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2006, European Mathematical Publishing House

    Prof Ugo Pietro Gianazza

  52. Interior and boundary continuity of the solution of the singular equation

    Article • Nonlinear Analysis, January 2004, Elsevier

    Bianca Stroffolini, Prof Ugo Pietro Gianazza

  53. Continuity of weak solutions of a singular parabolic equation

    Article • Advances in Differential Equations, January 2003, Khayyam Publishing, Inc

    Prof Ugo Pietro Gianazza

  54. Interior regularity for solutions to some degenerate quasilinear obstacle problems

    Article • Nonlinear Analysis, June 1999, Elsevier

    Prof Ugo Pietro Gianazza

  55. Sequences of obstacles problems for Dirichlet forms

    Article • Differential and Integral Equations, January 1996, Khayyam Publishing, Inc

    Prof Ugo Pietro Gianazza

  56. Local properties of variational solutions for the two-obstacle problem involving square Hörmander operators

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1994, Springer Science + Business Media

    Prof Ugo Pietro Gianazza

  57. Regularity for nonlinear equations involving square Hörmander operators

    Article • Nonlinear Analysis, July 1994, Elsevier

    Prof Ugo Pietro Gianazza