An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents
Abstract In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower bounds for Λ>0 $\varLambda >0$, which is the supremum of the set of λ. When λ∈(0...
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| Format: | Article |
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SpringerOpen
2019-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-019-1977-y |
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doaj-68bd601a060d47879fd10e687eb303bb2020-11-25T01:30:24ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-01-012019112610.1186/s13660-019-1977-yAn exact estimate result for p-biharmonic equations with Hardy potential and negative exponentsYanbin Sang0Siman Guo1Department of Mathematics, School of Science, North University of ChinaDepartment of Mathematics, School of Science, North University of ChinaAbstract In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower bounds for Λ>0 $\varLambda >0$, which is the supremum of the set of λ. When λ∈(0,Λ) $\lambda \in (0, \varLambda )$, the above problems admit at least two positive solutions.http://link.springer.com/article/10.1186/s13660-019-1977-yp-biharmonic equationNehari manifoldPositive solutionNegative exponents |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yanbin Sang Siman Guo |
| spellingShingle |
Yanbin Sang Siman Guo An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents Journal of Inequalities and Applications p-biharmonic equation Nehari manifold Positive solution Negative exponents |
| author_facet |
Yanbin Sang Siman Guo |
| author_sort |
Yanbin Sang |
| title |
An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents |
| title_short |
An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents |
| title_full |
An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents |
| title_fullStr |
An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents |
| title_full_unstemmed |
An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents |
| title_sort |
exact estimate result for p-biharmonic equations with hardy potential and negative exponents |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2019-01-01 |
| description |
Abstract In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower bounds for Λ>0 $\varLambda >0$, which is the supremum of the set of λ. When λ∈(0,Λ) $\lambda \in (0, \varLambda )$, the above problems admit at least two positive solutions. |
| topic |
p-biharmonic equation Nehari manifold Positive solution Negative exponents |
| url |
http://link.springer.com/article/10.1186/s13660-019-1977-y |
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