Published: 2024-11-19

On the Dirichlet problem for a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces

Albo Carlos Cavalheiro Logo ORCID

Abstract

In this paper we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations
-div[A(x,u,∇u)ω1 + B(x,u,∇u)ν1] + ????(x,u,∇u)ν2 + |u|p-22 - Σi,j=1nDj(aij(x)Diu(x)) = f0(x) - Σj=1nDjfj(x)   in Ω,
u(x) = 0   on ∂Ω,
in the setting of the weighted Sobolev spaces.

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Cavalheiro, A. C. (2024). On the Dirichlet problem for a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/18120

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2024
Published: 2024-01-18


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

Licence CC Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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