Dissertação
Um estudo sobre condições para existência e multiplicidade de soluções para problemas do tipo Ambrosetti-Prodi
Fecha
2015-08-10Autor
Becker, Alex Jenaro
Institución
Resumen
The aim of this work is to establish conditions for the existence and multiplicity of solutions
for Ambrosetti-Prodi problems type involving pLaplacian operator with subcritical growth
related to the Sobolev critical exponent. In the development of this study, we were used
the varational methods, such as, the Principle Varational Ekeland and the Mountain Pass
Theorem, as well as topological methods, such as, the sub and supersolution method, a priori
bounds and a generalization of theory of Leray-Schauder Topologic Degree. We determined
parameters t����� < 0 < t+ t such that the proposed problem at has least two solutions for
t t�����, at has least four solutions for t 2 [t�����; t+], at has least one solution for t t and no
has solution for t > t .