Superlinear Equations Involving Nonlinearities Limited by Asymptotically Homogeneous Functions
| Autor: | Sebastián Lorca, Pedro Ubilla, Marco Aurelio Souto |
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| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2007 (2007) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| DOI: | 10.1155/2007/58363 |
| Popis: | We obtain a solution of the quasilinear equation −Δpu=f(u) in Ω, u=0, on ∂Ω. Here the nonlinearity f is superlinear at zero, and it is located near infinity between two functions that belong to a class of functions where the Ambrosetti-Rabinowitz condition is satisfied. More precisely, we consider the class of functions that are asymptotically homogeneous of index q. |
| Databáze: | Directory of Open Access Journals |
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