Bibliographic Details
| Main Author: |
Costa, Gustavo Silvestre do Amaral |
| Publication Date: |
2017 |
| Format: |
Master thesis
|
| Language: |
por |
| Source: |
Repositório Institucional da UFG |
| Download full: |
http://repositorio.bc.ufg.br/tede/handle/tede/7021
|
Summary: |
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 ∈ ¯ . |
