Divulgação da Palestra Regularity of stable solutions to quasilinear elliptic equations on Riemannian models

Prezados colegas,

Dentro das atividades de pesquisa do DMAT-UFRN, será realizada na próxima segunda-feira, dia 19/08/2019, às 10:30h na sala de Seminários da Matemática, a seguinte conferência:

Título: Regularity of stable solutions to quasilinear elliptic equations on Riemannian models

Prof. Rodrigo Clemente (Universidade Federal Rural de Pernambuco)

Resumo: We investigate the regularity of semi-stable, radially symmetric, and decreasing solutions for a class of quasilinear reaction-diffusion equations in the inhomogeneous context of Riemannian manifolds. We prove uniform boundedness, Lebesgue and Sobolev estimates for this class of solutions for equations involving the p-Laplace Beltrami operator and locally Lipschitz non-linearity. We emphasize that our results do not depend on the boundary conditions and the specific form of the non-linearities and metric. Moreover, as an application, we establish regularity of the extremal solutions for equations involving the p-Laplace Beltrami operator with zero Dirichlet boundary conditions.

Contamos com a presença de todos.

Att, Diego Ferraz