Singular nonlinear elliptic equations in Rn
| Autor: | C. O. Alves, J. V. Goncalves, L. A. Maia |
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| Jazyk: | angličtina |
| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 3, Iss 3-4, Pp 411-423 (1998) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 10853375 |
| DOI: | 10.1155/S1085337598000633 |
| Popis: | This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number. We explore both situations where a,h are radial functions, with a being eventually identically zero, and cases where no symmetry is required from either a or h. Schauder's fixed point theorem, combined with penalty arguments, is exploited. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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