Autor: Papageorgiou, Nikolaos - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Multiple solutions for nonlinear discontinuous elliptic problems near resonance
Autorzy:: Kourogenis, Nikolaos
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/965892.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: discontinuous function
generalized directional derivative
critical point
coercive functional
multiple solutions
Clarke subdifferential
Rayleigh quotient
first eigenvalue
p-Laplacian
elliptic inclusion
nonsmooth Palais-Smale condition
Opis:: We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when $λ → λ_1$ from the left, $λ_1$ being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.
Źródło:: Colloquium Mathematicum; 1999, 81, 1; 89-99
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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: 3.

Tytuł:: On the existence of five nontrivial solutions for resonant problems with p-Laplacian
Autorzy:: Gasiński, Leszek
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/729275.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: p-Laplacian
Clarke subdifferential
linking sets
upper-lower solutions
second eigenvalue
nodal and constant sign solutions
second deformation theorem
Opis:: In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ₁ > 0 of $(-Δₚ,W₀^{1,p}(Z))$. We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 169-189
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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