- Tytuł:
- Hemivariational inequalities governed by the p-Laplacian -Dirichlet problem
- Autorzy:
- Naniewicz, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/970356.pdf
- Data publikacji:
- 2004
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
zagadnienie Dirichleta
nierówność hemiwariacyjna
jednostronny warunek wzrostu
teoria punktu krytycznego
Dirichlet problem
hemivariational inequality
unilateral growth condition
critical point theory
locally Lipschitz functional - Opis:
- 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).
- Źródło:
-
Control and Cybernetics; 2004, 33, 2; 181-210
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki