Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity
A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
2014-10-01
|
| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1063 |
| id |
doaj-d8bee6b5464740038877dbdc3df0f699 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d8bee6b5464740038877dbdc3df0f6992020-11-25T03:42:57ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982014-10-01692159170912Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexityPaola Magrone0Università degli Studi Roma TreA result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1063non strict convexitysign changingLinking theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Paola Magrone |
| spellingShingle |
Paola Magrone Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity Le Matematiche non strict convexity sign changing Linking theorem |
| author_facet |
Paola Magrone |
| author_sort |
Paola Magrone |
| title |
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| title_short |
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| title_full |
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| title_fullStr |
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| title_full_unstemmed |
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| title_sort |
minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
2014-10-01 |
| description |
A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign. |
| topic |
non strict convexity sign changing Linking theorem |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1063 |
| work_keys_str_mv |
AT paolamagrone minimaxsolutionsforaproblemwithsignchangingnonlinearityandlackofstrictconvexity |
| _version_ |
1724522424550031360 |