Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth
DOI:
https://doi.org/10.12775/TMNA.2020.073Keywords
Variational methods, supercritical exponent, fractional equationAbstract
Our main goal is to explore the existence of positive solutions for a class of nonlinear fractional Schrödinger equation involving supercritical growth given by $$ (- \Delta)^{\alpha} u + V(x)u=p(u),\quad x\in \mathbb{R^N},\ N \geq 1. $$ We analyze two types of problems, with $V$ being periodic and asymptotically periodic; for this we use a variational method, a truncation argument and a concentration compactness principle.References
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