Existence Results for the p(x)-Laplacian with Nonlinear Boundary Condition | Zendy

Zhiqiang Wei | Zendy; Chen Zi-gao | Zendy

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Existence Results for the p(x)-Laplacian with Nonlinear Boundary Condition

Author(s) -

Zhiqiang Wei,

Chen Zi-gao

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/727398

Subject(s) - sobolev space , mathematics , bounded function , nonlinear system , mathematical analysis , p laplacian , perturbation (astronomy) , domain (mathematical analysis) , lp space , boundary (topology) , laplace operator , boundary value problem , exponent , pure mathematics , lebesgue integration , physics , banach space , quantum mechanics , linguistics , philosophy

By using the variational method, under appropriate assumptions on the perturbationterms such that the associated functional satisfies the global minimizercondition and the fountain theorem, respectively, the existence and multiple results for the-Laplacian with nonlinear boundary condition in bounded domain Ω were studied. Thediscussion is based on variable exponent Lebesgue and Sobolev spaces.

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