Special Session 5: Recent results in Nonlinear PDEs

Existence of normalized solutions for the planar Schr\odinger-Poisson system with exponential critical nonlinearity

OLIMPIO H MIYAGAKI
UFSCAR-UNIVERSIDADE FEDERAL DE SAO CARLOS
Brazil
Co-Author(s):    Claudianor O. Alves, Eduardo Boer and Olimpio H. Miyagaki
Abstract:
In the present work we are concerned with the existence of normalized solutions to the following Schrodinger-Poisson System, involving a nonlinearity with exponential critical growth. The problem contains a constant which stands as a Lagrange multiplier and it is part of the unknown. Our main results extend and/or complement some results found recently.