Temat: Lipschitz - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
Autorzy:: Papageorgiou, Nikolaos
Papalini, Francesca
Powiązania:: https://bibliotekanauki.pl/articles/1207915.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: eigenvalues
multivalued problem
discontinuous term
p-Laplacian
subdifferential
locally Lipschitz functional
Opis:: We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.
Źródło:: Annales Polonici Mathematici; 2000, 75, 2; 125-141
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Hemivariational inequalities governed by the p-Laplacian - Neumann problem
Autorzy:: Naniewicz, Z.
Powiązania:: https://bibliotekanauki.pl/articles/970247.pdf
Data publikacji:: 2007
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Neumann problem
noncoercive 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. The existence of solutions for problems with Neumann boundary conditions is established by making use of Chang's version of the critical point theory for nonsmooth locally Lipschitz functionals, combined with the Galerkin method. The approach is based on the recession technique introduced previously by the author.
Źródło:: Control and Cybernetics; 2007, 36, 3; 727-754
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Discontinuous quasilinear elliptic problems at resonance
Autorzy:: Kourogenis, Nikolaos
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/966108.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: compact embedding
Poincaré's inequality
Palais-Smale condition
critical point
variational method
Mountain Pass Theorem
subdifferential
problems at resonance
locally Lipschitz functional
Opis:: In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
Źródło:: Colloquium Mathematicum; 1998, 78, 2; 213-223
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

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

Artykuł

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