Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth

By Claudianor Oliveira Alves, Giovany M. Figueiredo. Journal of Mathematics and Physics, 2019

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In this paper, we prove the existence of a positive solution with minimal energy for a planar Schrodinger-Poisson system, where the nonlinearity is a continuous function with exponential critical growth. We find this solution using a minimization technique on the Nehari manifold.In this paper, we prove the existence of a positive solution with minimal energy for a planar Schrodinger-Poisson system, where the nonlinearity is a continuous function with exponential critical growth. We find this solution using a minimization technique on the Nehari manifold.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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