Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent
By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/47/abstr.html |
| _version_ | 1819115447734239232 |
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| author | Ying Shen Jihui Zhang |
| author_facet | Ying Shen Jihui Zhang |
| author_sort | Ying Shen |
| collection | DOAJ |
| description | By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality. |
| first_indexed | 2024-12-22T05:01:21Z |
| format | Article |
| id | doaj.art-913282156f774be39873f3b00ac2987a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T05:01:21Z |
| publishDate | 2011-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-913282156f774be39873f3b00ac2987a2022-12-21T18:38:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-04-01201147,114Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponentYing ShenJihui ZhangBy using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.http://ejde.math.txstate.edu/Volumes/2011/47/abstr.htmlp-biharmonic systemNavier conditionNehari manifoldcritical exponent |
| spellingShingle | Ying Shen Jihui Zhang Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent Electronic Journal of Differential Equations p-biharmonic system Navier condition Nehari manifold critical exponent |
| title | Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent |
| title_full | Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent |
| title_fullStr | Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent |
| title_full_unstemmed | Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent |
| title_short | Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent |
| title_sort | multiplicity of positive solutions for a navier boundary value problem involving the p biharmonic with critical exponent |
| topic | p-biharmonic system Navier condition Nehari manifold critical exponent |
| url | http://ejde.math.txstate.edu/Volumes/2011/47/abstr.html |
| work_keys_str_mv | AT yingshen multiplicityofpositivesolutionsforanavierboundaryvalueprobleminvolvingthepbiharmonicwithcriticalexponent AT jihuizhang multiplicityofpositivesolutionsforanavierboundaryvalueprobleminvolvingthepbiharmonicwithcriticalexponent |