11/01/2024, 14:30, aula 1B, RM002
In this seminar we consider a class of singular elliptic problems defined in a bounded region of the plane with zero Dirichlet boundary condition. More precisely, we discuss the solvability of problems of the form -Laplacian of u + positive singular term = f(u), where f is considered to be of subcritical or critical growth with respect to the Trudinger-Moser inequality. Our approach is as follows: we first use variational methods to obtain solutions of suitable approximating problems. Next, we study the regularity of these solutions and conclude that the limit is a solution of the original problem in a weak sense. This is a part of the author's PhD Thesis, advised by Prof. Marcelo Montenegro at Universidade Estadual de Campinas, Brazil.