Existência de soluções não-negativas para uma classe de problemas semilineares elípticos indefinidos
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| Autor principal: | |
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| Data de publicació: | 2017 |
| Format: | Master thesis |
| Idioma: | por |
| Font: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/7021 |
Sumari: | In this work we will discuss the existence of nonnegative solutions for a class of indefinite semilinear elliptic problems: (Pμ) − u = λ1u+μg(x,u)+W(x)f(u), em u = 0 , sobre ∂ , where is a bounded smooth domain in RN, N ≥ 3, μ is a nonnegative parameter, λ1 is the first eigenvalue of the operator − under Dirichlet boundary conditions, W ∈ C(¯ ,R) is a weight function, f ∈ C(R,R), and g : ¯ ×R→R is a Carathéodory locally bounded function, i.e, for every s0 > 0, there is M := M(s0) > 0 such that |g(x,s)| ≤M for 0 ≤ |s| ≤ s0 and for almost every x ∈ ¯ . |
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