Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions
We establish existence and multiplicity of solutions for an elliptic system which presents resonance at infinity of Landesman-Lazer type. In order to describe the resonance, we use an eigenvalue problem with indefinite weights. In all results, we use Variational Methods, Morse...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/237826 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561919472435200 |
|---|---|
| author | Edcarlos D. da Silva |
| author_facet | Edcarlos D. da Silva |
| author_sort | Edcarlos D. da Silva |
| collection | DOAJ |
| description | We establish
existence and multiplicity of solutions for an
elliptic system which presents resonance at infinity of
Landesman-Lazer type. In order to describe the resonance, we use
an eigenvalue problem with indefinite weights. In all results, we
use Variational Methods, Morse Theory and Critical
Groups. |
| format | Article |
| id | doaj-art-7620b1f394e24c0eb8542b75ecd51387 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7620b1f394e24c0eb8542b75ecd513872025-02-03T01:23:55ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/237826237826Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer ConditionsEdcarlos D. da Silva0IMECC-UNICAMP, Caixa Postal 6065, CEP 13081-970 Campinas, SP, BrazilWe establish existence and multiplicity of solutions for an elliptic system which presents resonance at infinity of Landesman-Lazer type. In order to describe the resonance, we use an eigenvalue problem with indefinite weights. In all results, we use Variational Methods, Morse Theory and Critical Groups.http://dx.doi.org/10.1155/2010/237826 |
| spellingShingle | Edcarlos D. da Silva Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions Abstract and Applied Analysis |
| title | Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions |
| title_full | Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions |
| title_fullStr | Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions |
| title_full_unstemmed | Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions |
| title_short | Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions |
| title_sort | multiplicity of solutions for gradient systems using landesman lazer conditions |
| url | http://dx.doi.org/10.1155/2010/237826 |
| work_keys_str_mv | AT edcarlosddasilva multiplicityofsolutionsforgradientsystemsusinglandesmanlazerconditions |