Palestra: N-Laplacian equations involving critical exponential growth and concave terms in R^N

Resumo:

In this work we establish the existence and multiplicity of nonzero and nonnegative solutions for a class of quasilinear elliptic equations, known as Generalized $N$-Laplacian, whose nonlinearity is allowed to enjoy the critical exponential growth with respect to a version of the Trudinger-Moser inequality and it can also contain convex terms in $\mathbb{R}^N$ $(N\geq 2)$. In order to obtain our results, we combine variational arguments in a suitable subspace of a Orlicz-Sobolev space with a version of the Trudinger-Moser inequality and Ekeland Variational Principle. In a particular case, we show the solution is a positive ground state.

Data e Hora: 05/04/2018 às 10:50

Local: Sala de Seminários da Matemática.

Palestrante: Jefferson Abrantes dos Santos - UFCG