Multiplicity results for a fourth order quasi-linear problems
In this paper we prove the existence of nontrivial solutions to a p-biharmonic elliptic equations with Navier boundary conditions. The results are proved by applying minimax arguments and Morse theory.
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| Format: | Article |
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Sociedade Brasileira de Matemática
2014-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17341 |
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Article |
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doaj-310f5aaa3a3a4b629fce8bd0d1aaa2572020-11-24T21:56:00ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882014-01-0132121522710.5269/bspm.v32i1.173419562Multiplicity results for a fourth order quasi-linear problemsA. R. El Amrouss0Fouad Kissi1University Mohammed I Faculty of Sciences Department of MathematicsUniversity Mohammed I Faculty of Sciences Department of MathematicsIn this paper we prove the existence of nontrivial solutions to a p-biharmonic elliptic equations with Navier boundary conditions. The results are proved by applying minimax arguments and Morse theory.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17341p-biharmonic operatorVariational methodCritical groupMultiple solutionsMorse theory |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. R. El Amrouss Fouad Kissi |
| spellingShingle |
A. R. El Amrouss Fouad Kissi Multiplicity results for a fourth order quasi-linear problems Boletim da Sociedade Paranaense de Matemática p-biharmonic operator Variational method Critical group Multiple solutions Morse theory |
| author_facet |
A. R. El Amrouss Fouad Kissi |
| author_sort |
A. R. El Amrouss |
| title |
Multiplicity results for a fourth order quasi-linear problems |
| title_short |
Multiplicity results for a fourth order quasi-linear problems |
| title_full |
Multiplicity results for a fourth order quasi-linear problems |
| title_fullStr |
Multiplicity results for a fourth order quasi-linear problems |
| title_full_unstemmed |
Multiplicity results for a fourth order quasi-linear problems |
| title_sort |
multiplicity results for a fourth order quasi-linear problems |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2014-01-01 |
| description |
In this paper we prove the existence of nontrivial solutions to a p-biharmonic elliptic equations with Navier boundary conditions. The
results are proved by applying minimax arguments and Morse theory. |
| topic |
p-biharmonic operator Variational method Critical group Multiple solutions Morse theory |
| url |
http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17341 |
| work_keys_str_mv |
AT arelamrouss multiplicityresultsforafourthorderquasilinearproblems AT fouadkissi multiplicityresultsforafourthorderquasilinearproblems |
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1725860102758465536 |