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 .
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.
Show me the PDF file (290 KB), TEX file, and other files for this article.
| Gabriel López G.|
Universidad Autónoma Metropolitana
México D.F., México
Return to the EJDE web page