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Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

100%

Barnaś S.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2014

tom 34

nr 1

15-39

In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang [6] and the properties of variational Sobolev spaces, we establish conditions which ensure the existence of solution for our problem.

An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem

100%

Wiśniewski D., Bodzioch M.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2016

tom 15

We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Barnaś S.

1 Bodzioch M.

1 Wiśniewski D.

1 2016

1 2014

Wyniki wyszukiwania

Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem