Hemivariational inequalities governed by the p-Laplacian -Dirichlet problem

• Autorzy: Naniewicz Z.
• Języki publikacji: EN

Abstrakty

EN

A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinear part fulfills the unilateral growth condition (Naniewicz, 1994). The existence of solutions for problems with Dirichlet boundary conditions is established by making use of Chang's version of the critical point theory for non-smooth locally Lipschitz functionals (Chang, 1981), combined with the Galerkin method. A class of problems with nonlinear potentials fulfilling the classical growth hypothesis without Ainbrosetti-Rabinowitz type assumption is discussed. The approach is based on the recession technique introduced in Naniewicz (2003).

Słowa kluczowe

EN

Dirichlet problem; hemivariational inequality; unilateral growth condition; critical point theory; locally Lipschitz functional

PL

zagadnienie Dirichleta; nierówność hemiwariacyjna; jednostronny warunek wzrostu; teoria punktu krytycznego

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 2
• Strony: 181--210
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Naniewicz Z.

• Cardinal Stefan Wyszyński University, Department of Mathematics and Natural Sciences, College of Science, Dewajtis 5, 01-815 Warsaw, Poland,

Bibliografia

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