The Applications Of Nonsmooth Version Ricceri's Variational Principle To The P(x)-Laplacian Equation

Posted on:2010-12-11

Degree:Master

Type:Thesis

Country:China

Candidate:G W Dai

Full Text:PDF

GTID:2120360275995731

Subject:Basic mathematics

Abstract/Summary:

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In this paper, we consider differential inclusion problem in a bounded domainÎ©, involving p(x)-Laplacian of Neumann-typeand Dirichlet-typeWith some suitable assumptions on nonlinearities, the existences of infinitely many solutions are obtained by using nonsmooth version Ricceri's variational principle in variable exponent Sobolev spaces W^1,(p(x))(Î©) and W₀^1,(p(x))(Î©), respectively.

Keywords/Search Tags:

variable exponent Sobolev spaces, nonsmooth version Ricceri's variational principle, Dirichlet boundary value problem, Neumann boundary value problem, p(x)-Laplacian

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