Manel Sanchón

Publicacions

Articles de recerca en equacions en derivades parcials, sobretot sobre el p-Laplacià i la regularitat de solucions estables.

Més recents

  1. Optimal regularity of stable solutions to nonlinear equations involving the p-LaplacianAdvances in Calculus of Variations · 2022
  2. Antisymmetry of solutions for some weighted elliptic problemsCommunications in Partial Differential Equations · 2018
  3. A priori estimates for semistable solutions of semilinear elliptic equationsDiscrete and Continuous Dynamical Systems — Series A 36, 601–609

Anteriors

  1. Regularity of stable solutions of p-Laplace equations through geometric Sobolev type inequalitiesJournal of the European Mathematical Society 17, 2949–2975
  2. Regularity of stable solutions to semilinear elliptic equations on Riemannian modelsAdvances in Nonlinear Analysis 4, 295–309
  3. Geometric-type Sobolev inequalities and applications to the regularity of minimizersJournal of Functional Analysis 264, 303–325
  4. W¹·q estimates for the extremal solution of reaction-diffusion problemsNonlinear Analysis 80, 49–54
  5. Entropy solutions for the p(x)-Laplace equationTransactions of the American Mathematical Society 361, 6387–6405
  6. Regularity of radial minimizers of reaction equations involving the p-LaplacianCalculus of Variations and PDE's 34, 475–494
  7. The obstacle problem for nonlinear elliptic equations with variable growth and L¹ dataMonatshefte für Mathematik 154, 303–322
  8. Boundedness of the extremal solution of some p-Laplacian problemsNonlinear Analysis 67, 281–294
  9. Regularity of the extremal solution of some nonlinear elliptic problems involving the p-LaplacianPotential Analysis 27, 217–224
  10. Stable and extremal solutions of some semilinear problems involving the p-LaplacianCommunications on Pure and Applied Analysis 6, n. 1, 43–67
  11. Regularity of entropy solutions of quasilinear elliptic problems related with Hardy-Sobolev inequalitiesAdvanced Nonlinear Studies 6, 547–562
  12. A mean field equation on a torus: one-dimensional symmetry of solutionsCommunications in Partial Differential Equations 30, 1315–1330
  13. Stability and instability of equilibria of an equation of size structured population dynamicsJournal of Mathematical Analysis and Applications 286, 435–452