Pohozaev-type inequalities and nonexistence results for non C^2 solutions of p(x)-Laplacian equations
In this article we obtain a Pohozaev-type inequality for Sobolev spaces with variable exponents. This inequality is used for proving the nonexistence of nontrivial weak solutions for the Dirichlet problem $$\displaylines{ -\Delta_{p(x)} u = |u|^{q(x)-2}u ,\quad x\in \Omega\cr u(x)=0,\quad x...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/239/abstr.html |