Gabriel Lopez
Abstract:
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
with non-standard growth. Our results extend those obtained by Otani [16].
Submitted September 6, 2014. Published November 14, 2014.
Math Subject Classifications: 35D05, 35J60, 58E05.
Key Words: Pohozaev-type inequality; p(x)-Laplace operator;
Sobolev spaces with variable exponents.
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Gabriel López G. Universidad Autónoma Metropolitana México D.F., México email: gabl@xanum.uam.mx |
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