A Dirichlet problem with asymptotically linear and changing sign nonlinearity
- Autores: Marcello Lucia, Huan-Song Zhou, Paola Magrone
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 2, 2003, págs. 465-481
- Idioma: inglés
- DOI: 10.5209/rev_rema.2003.v16.n2.16821
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Resumen
This paper deals with the problem of finding positive solutions to the equation -Du=g(x,u) on a bounded domain "omega" with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
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