On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent
This work is concerned with a class of fourth-order elliptic Kirchhoff type problems involving the critical term. By means of the truncation and the concentration compact argument, for each positive integer k, the existence of k pairs nontrivial solutions is established.
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2020-11-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/952446 |
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doaj-e39cc48086704e2399a8d5e61e136a882020-12-09T19:21:06ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-11-014439440110.31197/atnaa.683089On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponentMohammed MassarThis work is concerned with a class of fourth-order elliptic Kirchhoff type problems involving the critical term. By means of the truncation and the concentration compact argument, for each positive integer k, the existence of k pairs nontrivial solutions is established.https://dergipark.org.tr/tr/download/article-file/952446elliptic equationskirchhoff type problemvariational methods |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammed Massar |
| spellingShingle |
Mohammed Massar On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent Advances in the Theory of Nonlinear Analysis and its Applications elliptic equations kirchhoff type problem variational methods |
| author_facet |
Mohammed Massar |
| author_sort |
Mohammed Massar |
| title |
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent |
| title_short |
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent |
| title_full |
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent |
| title_fullStr |
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent |
| title_full_unstemmed |
On a fourth-order elliptic Kirchhoff type problem with critical Sobolev exponent |
| title_sort |
on a fourth-order elliptic kirchhoff type problem with critical sobolev exponent |
| publisher |
ATNAA |
| series |
Advances in the Theory of Nonlinear Analysis and its Applications |
| issn |
2587-2648 2587-2648 |
| publishDate |
2020-11-01 |
| description |
This work is concerned with a class of fourth-order elliptic Kirchhoff type problems involving the critical
term. By means of the truncation and the concentration compact argument, for each positive integer k, the
existence of k pairs nontrivial solutions is established. |
| topic |
elliptic equations kirchhoff type problem variational methods |
| url |
https://dergipark.org.tr/tr/download/article-file/952446 |
| work_keys_str_mv |
AT mohammedmassar onafourthorderelliptickirchhofftypeproblemwithcriticalsobolevexponent |
| _version_ |
1724388023543529472 |