Pohozaev-type inequalities and nonexistence results for non $C^2$ solutions of $p(x)$-laplacian equations

Gabriel López Garza

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arXiv · 1303.7268

Pohozaev-type inequalities and nonexistence results for non $C^2$ solutions of $p(x)$-laplacian equations

Gabriel López Garza

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Abstract

In this paper a Pohozaev type inequality is stated for variable exponent Sobolev spaces in order to prove non existence of nontrivial weak solutions for a Dirichlet problem with non-standard growth. The obtained results generalize a previous work of M. Ôtani.

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Gabriel López Garza. 2013-03-28. Pohozaev-type inequalities and nonexistence results for non $C^2$ solutions of $p(x)$-laplacian equations. https://arxiv.org/abs/1303.7268

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