Estimates for critical groups of solutions to quasilinear elliptic systems
In this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each critical point via its Morse index.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/78/abstr.html |
| _version_ | 1819044945308155904 |
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| author | Jose Carmona Silvia Cingolani Giuseppina Vannella |
| author_facet | Jose Carmona Silvia Cingolani Giuseppina Vannella |
| author_sort | Jose Carmona |
| collection | DOAJ |
| description | In this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each critical point via its Morse index. |
| first_indexed | 2024-12-21T10:20:44Z |
| format | Article |
| id | doaj.art-a63daa77bb83476182c8f9abf2cf91a2 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-21T10:20:44Z |
| publishDate | 2003-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a63daa77bb83476182c8f9abf2cf91a22022-12-21T19:07:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-07-01200378113Estimates for critical groups of solutions to quasilinear elliptic systemsJose CarmonaSilvia CingolaniGiuseppina VannellaIn this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each critical point via its Morse index.http://ejde.math.txstate.edu/Volumes/2003/78/abstr.htmlQuasilinear elliptic systemscritical groupsMorse index. |
| spellingShingle | Jose Carmona Silvia Cingolani Giuseppina Vannella Estimates for critical groups of solutions to quasilinear elliptic systems Electronic Journal of Differential Equations Quasilinear elliptic systems critical groups Morse index. |
| title | Estimates for critical groups of solutions to quasilinear elliptic systems |
| title_full | Estimates for critical groups of solutions to quasilinear elliptic systems |
| title_fullStr | Estimates for critical groups of solutions to quasilinear elliptic systems |
| title_full_unstemmed | Estimates for critical groups of solutions to quasilinear elliptic systems |
| title_short | Estimates for critical groups of solutions to quasilinear elliptic systems |
| title_sort | estimates for critical groups of solutions to quasilinear elliptic systems |
| topic | Quasilinear elliptic systems critical groups Morse index. |
| url | http://ejde.math.txstate.edu/Volumes/2003/78/abstr.html |
| work_keys_str_mv | AT josecarmona estimatesforcriticalgroupsofsolutionstoquasilinearellipticsystems AT silviacingolani estimatesforcriticalgroupsofsolutionstoquasilinearellipticsystems AT giuseppinavannella estimatesforcriticalgroupsofsolutionstoquasilinearellipticsystems |