Existence and multiplicity results for nonlinear problems involving the p(x)-laplace operator

• Autorzy: Tsouli N. , Darhouche O.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.3.621

• Języki publikacji: EN

Abstrakty

EN

In this paper we study the following nonlinear boundary-value problem [formula] where Ω ⊂ RN is a bounded domain with smooth boundary [formula] is the outer unit normal derivative on [formula] are two real numbers such that [formula] is a continuous function on Ω with [formula] are continuous functions. Under appropriate assumptions on ƒ and g, we obtain the existence and multiplicity of solutions using the variational method. The positive solution of the problem is also considered.

Słowa kluczowe

EN

critical points; variational method; generalized Lebesgue-Sobolev spaces; p(x)-Laplacian

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 3
• Strony: 621--638
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Tsouli N.

• Department of Mathematics University Mohamed I Oujda, Morocco

autor

Darhouche O.

• Department of Mathematics University Mohamed I Oujda, Morocco

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