We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continuous real function on R2, F(s) is the primitive of f(s), 0 < μ < 2 and ε is a positive parameter. Assuming that the nonlinearity f(. s) has critical exponential growth in the sense of Trudinger-Moser, we establish the existence and concentration of solutions by variational methods.

Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in R2

CASSANI, DANIELE;
2016-01-01

Abstract

We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continuous real function on R2, F(s) is the primitive of f(s), 0 < μ < 2 and ε is a positive parameter. Assuming that the nonlinearity f(. s) has critical exponential growth in the sense of Trudinger-Moser, we establish the existence and concentration of solutions by variational methods.
2016
http://www.elsevier.com/inca/publications/store/6/2/2/8/6/8/index.htt
Critical exponential growth; Nonlocal elliptic equations; Schrödinger equations; Semiclassical states; Trudinger-Moser inequality; Analysis
Alves, Claudianor O.; Cassani, Daniele; Tarsi, Cristina; Yang, Minbo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2044225
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