Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems
In this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutio...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-04-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/54/abstr.html |
| _version_ | 1828494132410056704 |
|---|---|
| author | Ali Djellit Mohand Moussaoui Saadia Tas |
| author_facet | Ali Djellit Mohand Moussaoui Saadia Tas |
| author_sort | Ali Djellit |
| collection | DOAJ |
| description | In this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutions vanishing at infinity. |
| first_indexed | 2024-12-11T11:50:51Z |
| format | Article |
| id | doaj.art-4834f429f79f4932adcc09cc80adea88 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T11:50:51Z |
| publishDate | 2010-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4834f429f79f4932adcc09cc80adea882022-12-22T01:08:21ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-04-01201054,110Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systemsAli DjellitMohand MoussaouiSaadia TasIn this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutions vanishing at infinity.http://ejde.math.txstate.edu/Volumes/2010/54/abstr.htmlp-Laplacian operatornonvariational systemblow up methodLeray-Schauder topological degree |
| spellingShingle | Ali Djellit Mohand Moussaoui Saadia Tas Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems Electronic Journal of Differential Equations p-Laplacian operator nonvariational system blow up method Leray-Schauder topological degree |
| title | Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| title_full | Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| title_fullStr | Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| title_full_unstemmed | Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| title_short | Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| title_sort | existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems |
| topic | p-Laplacian operator nonvariational system blow up method Leray-Schauder topological degree |
| url | http://ejde.math.txstate.edu/Volumes/2010/54/abstr.html |
| work_keys_str_mv | AT alidjellit existenceofradialpositivesolutionsvanishingatinfinityforasymptoticallyhomogeneoussystems AT mohandmoussaoui existenceofradialpositivesolutionsvanishingatinfinityforasymptoticallyhomogeneoussystems AT saadiatas existenceofradialpositivesolutionsvanishingatinfinityforasymptoticallyhomogeneoussystems |