Existence Result for Differential Inclusion with p(x) - Laplacian

• Autorzy: Barnaś S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the nonlinear elliptic problem with p(x)- Laplacian (hemivariational inequality). We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [4].

Słowa kluczowe

EN

p(x)-Laplacian; Palais-Smale condition; mountain pass theorem; variable exponent Sobolev space

• Wydawca: Wydawnictwo Uniwersytetu Jagiellońskiego
• Czasopismo: Schedae Informaticae
• Rocznik: 2012
• Tom: Vol. 21
• Strony: 41--54
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Barnaś S.

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland Department of Mathematics and Computer Science, Jagiellonian University, Lojasiewicza 6, 30-348 Krak´ow, Poland

Bibliografia

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