On nonlinear hemivariational inequalities:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2003
|
| Schriftenreihe: | Dissertationes mathematicae
419 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 60 S. |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: On nonlinear hemivariational inequalities
Autor: Papageōrgiu, Nikolaos
Jahr: 2003
CONTENTS
1. Introduction......................................................................................................................................................5
2. Mathematical background.............................................................. 6
3. Strongly nonlinear hemivariational inequalities..................................................................................11
4. Method of upper-lower solutions..............................................................................................................19
5. Bounded solutions of definite sign............................................................................................................30
6. Hemivariational inequalities at resonance..............................................................................................34
7. Problems which cross Ai..............................................................................................................................46
8. The nonhomogeneous Neumann problem..............................................................................................51
References................................................................................ 57
Abstract
We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities
of second order. The problems under consideration are strongly nonlinear and not necessarily
of variational nature. So we employ a variety of tools in order to solve them. More precisely,
we use the general theory of nonlinear operators of monotone type, the method of upper-lower
solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled
with Landesman-Lazer conditions and linking techniques and also truncation and penalization
techniques. The problems that we examine involve Dirichlet boundary conditions; in the last
section we also examine a problem with a nonhomogeneous and nonlinear Neumann boundary
condition.
2000 Mathematics Subject Classification: 35J50, 35J85, 35R70.
Key words and phrases , hemivariational inequality, locally Lipschitz functional, generalized sub-
differential, p-Laplacian, principal eigenvalue, Rayleigh quotient, maximal monotone ope-
rator, pseudomonotone operator, (S)+ operator, upper-lower solution method, maximum
principle, regularity theorem, critical point theory, multivalued Leray-Schauder principle,
Landesman-Lazer condition, positive and negative solution, Green s formula.
Received 19.9.2001; final version 29.10.2002.
|
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| indexdate | 2024-07-09T19:58:18Z |
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| publishDate | 2003 |
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| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae / Polska Akad. Nauk, Inst. Matematyczny; 419 |
| spelling | Papageōrgiu, Nikolaos 1958- Verfasser (DE-588)137051085 aut On nonlinear hemivariational inequalities Nikolaos S. Papageorgiou and George Smyrlis Warszawa Polska Akad. Nauk, Inst. Matematyczny 2003 60 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae / Polska Akad. Nauk, Inst. Matematyczny; 419 Hemivariational inequalities Nonlinear functional analysis Nichtlineare Variationsungleichung (DE-588)4171762-4 gnd rswk-swf Hemivariationsungleichung (DE-588)4564212-6 gnd rswk-swf Hemivariationsungleichung (DE-588)4564212-6 s Nichtlineare Variationsungleichung (DE-588)4171762-4 s DE-604 Smyrlis, George Verfasser aut Dissertationes mathematicae 419 (DE-604)BV000003039 419 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012816551&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Papageōrgiu, Nikolaos 1958- Smyrlis, George On nonlinear hemivariational inequalities Dissertationes mathematicae Hemivariational inequalities Nonlinear functional analysis Nichtlineare Variationsungleichung (DE-588)4171762-4 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd |
| subject_GND | (DE-588)4171762-4 (DE-588)4564212-6 |
| title | On nonlinear hemivariational inequalities |
| title_auth | On nonlinear hemivariational inequalities |
| title_exact_search | On nonlinear hemivariational inequalities |
| title_full | On nonlinear hemivariational inequalities Nikolaos S. Papageorgiou and George Smyrlis |
| title_fullStr | On nonlinear hemivariational inequalities Nikolaos S. Papageorgiou and George Smyrlis |
| title_full_unstemmed | On nonlinear hemivariational inequalities Nikolaos S. Papageorgiou and George Smyrlis |
| title_short | On nonlinear hemivariational inequalities |
| title_sort | on nonlinear hemivariational inequalities |
| topic | Hemivariational inequalities Nonlinear functional analysis Nichtlineare Variationsungleichung (DE-588)4171762-4 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd |
| topic_facet | Hemivariational inequalities Nonlinear functional analysis Nichtlineare Variationsungleichung Hemivariationsungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012816551&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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