Existence and nonexistence of radial positive solutions of superlinear elliptic systems
The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system [formula], where [omega] is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly speaki...
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| Tipo de documento: | artigo |
| Data de publicação: | 2001 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:1968 |
| Acesso em linha: | https://ddd.uab.cat/record/1968 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_45201_06 |
| Access Level: | Acceso aberto |
| Resumo: | The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system [formula], where [omega] is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly speaking, to superlinear problems. Two different sets of conditions, called strongly and weakly coupled, are given in order to obtain existence. We use the topological degree theory combined with the blow up method of Gidas and Spruck. When [omega] = RN, we give some sufficient conditions of nonexistence of radial positive solutions for Liouville systems. |
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