Métodos variacionais aplicados à problemas singulares em equações elípticas não lineares

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Bibliographic Details
Main Author: Brito, Lucas Menezes de
Publication Date: 2018
Format: Master thesis
Language: por
Source: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/8860
Summary: In this work we study a singular partial differential problem in a bounded domain with smoth boundary. We have two main cases, one superlinear with weak singularity, and the other one sublinear with strong songularity. We use Variational Methods, such as the Ekeland Variational Principle and the Nehari Manifolds, to solve this problem, finding weak solutions and proving the multiplicity of solutions in one of the cases.