Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree

Authors

  • M. Ait University Sidi Mohamed Ben Abdellah.
  • E. Azroul University Sidi Mohamed Ben Abdellah.

DOI:

https://doi.org/10.22199/issn.0717-6279-2019-04-0048

Keywords:

Nonlinear elliptic equation, Weighted Sobolev spaces with variable exponent, Dirichlet problem

Abstract

In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, ∇u) = f(x, u, ∇u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions.

Author Biographies

M. Ait, University Sidi Mohamed Ben Abdellah.

FSDM.

E. Azroul, University Sidi Mohamed Ben Abdellah.

FSDM.

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Published

2019-10-21

How to Cite

[1]
M. Ait Hammou and E. H. Azroul, “Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree”, Proyecciones (Antofagasta, On line), vol. 38, no. 4, pp. 733-751, Oct. 2019.

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Section

Artículos