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On Some $\vec{p (x)}$ Anisotropic Elliptic Equations in Unbounded Domain

$icon-email$ Ahmed Aberqi , Benali Aharrouch , Jaouad Bennouna

Abstract

We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain $Ω \subset R^{N}$ $(N \geq 2)$ . We prove the existence of entropy solutions avoiding sign condition and coercivity on the lower order terms.

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On Some p(x)→ Anisotropic Elliptic Equations in Unbounded Domain

Abstract

On Some $\vec{p (x)}$ Anisotropic Elliptic Equations in Unbounded Domain