On the Dirichlet problem for a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces
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] + 𝓗(x,u,∇u)ν2 + |u|p-2uω2 - 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.
Keywords
degenerate nonlinear elliptic equations; weighted Sobolev spaces
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Department of Mathematics, State University of Londrina Brazil
https://orcid.org/0000-0003-1337-1292
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