Infinitely Many Solutions For Two Non-cooperative P(x)-Laplacian Elliptic Systems

Posted on:2008-04-19

Degree:Master

Type:Thesis

Country:China

Candidate:W M Liu

Full Text:PDF

GTID:2120360215457254

Subject:Basic mathematics

Abstract/Summary:

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The author deals with two non-cooperative elliptic systems involving p(x)-Laplacian in a smooth bounded domainÎ©and in R^N respectively. With some symmetry assumptions and growth conditions on nonlinearities, the existences of infinitely many solutions are obtained by using a limit index theory developed by Li (Nonlinear Analysis: TMA, 25(1995) 1371-1389) in variable exponent Sobolev spaces W₀⁽1,p(x)(Î©) and W₁⁽1,p(x)(R^N) respectively.

Keywords/Search Tags:

variable exponent Sobolev spaces, non-cooperative elliptic systems, limit index theory, p(x)-Laplacian

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