arXiv:1303.7268 Abstract | arXiv Analytics

arXiv:1303.7268 [math.AP]Abstract References Reviews Resources

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

Published 2013-03-28Version 1

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. \^{O}tani.

Categories: math.AP

Subjects: 35D05, 35J60, 58E05

Keywords: nonexistence results, laplacian equations, pohozaev-type inequalities, variable exponent sobolev spaces, pohozaev type inequality

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