Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators

• Autorzy: Kong L.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2016.36.2.253

• Języki publikacji: EN

Abstrakty

EN

We study the multiplicity of weak solutions to the following fourth order nonlinear elliptic problem with a p(x)-biharmonic operator [formula] where Ω is a smooth bounded domain in RN, [formula] is the p(x)-biharmonic operator, and λ > 0 is a parameter. We establish sufficient conditions under which there exists a positive number λ* such that the above problem has at least two nontrivial weak solutions for each λ > λ*. Our analysis mainly relies on variational arguments based on the mountain pass lemma and some recent theory on the generalized Lebesgue-Sobolev spaces [formula].

Słowa kluczowe

EN

critical points; p(x)-biharmonic operator; weak solutions; mountain pass lemma

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 2
• Strony: 253--264
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Kong L.

• Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.