Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree
DOI:
https://doi.org/10.22199/issn.0717-6279-2019-04-0048Keywords:
Nonlinear elliptic equation, Weighted Sobolev spaces with variable exponent, Dirichlet problemAbstract
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.References
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