Three Solutions for Inequalities Dirichlet Problem Driven by <em>p</em>(x)-Laplacian

GE Bin; XUE Xiao-ping; GUO Meng-shu

doi:10.3879/j.issn.1000-0887.2010.10.009

Volume 31 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(10): 1220-1228

GE Bin, XUE Xiao-ping, GUO Meng-shu. Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1220-1228. doi: 10.3879/j.issn.1000-0887.2010.10.009

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Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian

doi: 10.3879/j.issn.1000-0887.2010.10.009

Department of Mathematics, Harbin Engineering University, Harbin 150001, P. R. China;
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-08-23
Publish Date: 2010-10-15

Abstract

Abstract

A class of nonlinear elliptic proplem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential was considered.Applying the version of non-smooth three-critical-point theorem, existence of three solutions of the problem in W₀^{1, p(x)}(Ω)was proved.
- p(x)-Laplician,
- differential inclusion problem,
- three-critical-point theorem

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References

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