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Proyecciones (Antofagasta)
versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) vol.38 no.4 Antofagasta dic. 2019
http://dx.doi.org/10.22199/issn.0717-6279-2019-04-0048
Articles
Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
1University Sidi Mohamed Ben Abdellah, FSDM, Fez, Morocco, e-mail: mus.aithammou@gmail.com
2 University Sidi Mohamed Ben Abdellah, FSDM, Fez, Morocco, e-mail: azroulelhoussine@gmail.com
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.
Keywords: Nonlinear elliptic equation; Weighted Sobolev spaces with variable exponent; Dirichlet problem.
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Received: July 2018; Accepted: March 2019
This is an open-access article distributed under the terms of the Creative Commons Attribution License
