$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition
This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively. We focus on the case of the nonlinear terms without the Ambrosetti–Rabinowitz conditions. Our method is bas...
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University of Szeged
2020-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8166 |
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doaj-f794e38e02814ebcab9410e60a756a8b2021-07-14T07:21:33ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752020-06-0120204211610.14232/ejqtde.2020.1.428166$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz conditionWeihua Wang0Yangzhou University, Yangzhou, P.R. China & School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, P.R. ChinaThis paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively. We focus on the case of the nonlinear terms without the Ambrosetti–Rabinowitz conditions. Our method is based on the variational method.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8166variational methods$p$-biharmonic equationsobolev–hardy inequalityfountain theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Weihua Wang |
| spellingShingle |
Weihua Wang $p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition Electronic Journal of Qualitative Theory of Differential Equations variational methods $p$-biharmonic equation sobolev–hardy inequality fountain theorem |
| author_facet |
Weihua Wang |
| author_sort |
Weihua Wang |
| title |
$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition |
| title_short |
$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition |
| title_full |
$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition |
| title_fullStr |
$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition |
| title_full_unstemmed |
$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition |
| title_sort |
$p$-biharmonic equation with hardy–sobolev exponent and without the ambrosetti–rabinowitz condition |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2020-06-01 |
| description |
This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively. We focus on the case of the nonlinear terms without the Ambrosetti–Rabinowitz conditions. Our method is based on the variational method. |
| topic |
variational methods $p$-biharmonic equation sobolev–hardy inequality fountain theorem |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8166 |
| work_keys_str_mv |
AT weihuawang pbiharmonicequationwithhardysobolevexponentandwithouttheambrosettirabinowitzcondition |
| _version_ |
1721303425748041728 |