Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems
We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely many solutions of non-symmetric super-quadratic noncooperative elliptic sy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2004-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/100/abstr.html |
| _version_ | 1818617298419712000 |
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| author | Monica Clapp Yanheng Ding Sergio Hernandez-Linares |
| author_facet | Monica Clapp Yanheng Ding Sergio Hernandez-Linares |
| author_sort | Monica Clapp |
| collection | DOAJ |
| description | We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely many solutions of non-symmetric super-quadratic noncooperative elliptic systems, allowing some supercritical growth. |
| first_indexed | 2024-12-16T17:03:28Z |
| format | Article |
| id | doaj.art-29fa1cea1c2d491e97c2e4cc16101bb7 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T17:03:28Z |
| publishDate | 2004-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-29fa1cea1c2d491e97c2e4cc16101bb72022-12-21T22:23:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-08-012004100118Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systemsMonica ClappYanheng DingSergio Hernandez-LinaresWe prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely many solutions of non-symmetric super-quadratic noncooperative elliptic systems, allowing some supercritical growth.http://ejde.math.txstate.edu/Volumes/2004/100/abstr.htmlCritical point theoryperturbation of symmetrieselliptic systemsstrongly indefinite functionalsmultiple solutionscritical Sobolev exponent. |
| spellingShingle | Monica Clapp Yanheng Ding Sergio Hernandez-Linares Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems Electronic Journal of Differential Equations Critical point theory perturbation of symmetries elliptic systems strongly indefinite functionals multiple solutions critical Sobolev exponent. |
| title | Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| title_full | Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| title_fullStr | Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| title_full_unstemmed | Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| title_short | Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| title_sort | strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems |
| topic | Critical point theory perturbation of symmetries elliptic systems strongly indefinite functionals multiple solutions critical Sobolev exponent. |
| url | http://ejde.math.txstate.edu/Volumes/2004/100/abstr.html |
| work_keys_str_mv | AT monicaclapp stronglyindefinitefunctionalswithperturbedsymmetriesandmultiplesolutionsofnonsymmetricellipticsystems AT yanhengding stronglyindefinitefunctionalswithperturbedsymmetriesandmultiplesolutionsofnonsymmetricellipticsystems AT sergiohernandezlinares stronglyindefinitefunctionalswithperturbedsymmetriesandmultiplesolutionsofnonsymmetricellipticsystems |