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Solutions and multiple solutions for p(x)-Laplacian equations with nonlinear boundary condition

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First Author : Zifei Shen

Date of Publication : 2009-01-01

Journal : Chinese Annals of Mathematics. Series B

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.30

Issue : No.4

Page Number : 397-412

ISSN : 0252-9599

Key Words : p(x)-Laplacian;Nonlinear;boundary;condition;(PS);condition;Mountain;pass;lemma;Fountain;theorem

Abstract : The authors study the p(x)-Laplacian equations with nonlinear boundary condition. By using the variational method, under appropriate assumptions on the perturbation terms f 1 (x, u), f 2 (x, u) and h 1 (x), h 2 ( x ), such that the associated functional s

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