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arXiv · 2008.03056

On some $\overrightarrow{p(x)}$ anisotropic elliptic equations in unbounded domain

A. Aberqi·B. Aharrouch·J. Bennouna
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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 $\Omega\subset \>I\!\!R^{N}\>(N \geq 2)\>$. We prove the existence of entropy solutions avoiding sign condition and coercivity on the lowers order terms.

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A. Aberqi, B. Aharrouch, J. Bennouna. 2020-08-07. On some $\overrightarrow{p(x)}$ anisotropic elliptic equations in unbounded domain. https://arxiv.org/abs/2008.03056

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