Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

67 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $${\mathbb R^{N}}$$RN (2015, background): “Concentration of solutions is also studied in [32] where the authors consider the nonlinearity f(x, u) = K(x)|u|p−2u and prove the concentration near suitable critical points of a function Γ(x) which involves the potential V and the function K.”
Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb{R}^N$ via penalization method (2015, background): “In [11] is studied the existence and concentration phenomena for potential verifying local condition (V1), and in [10, 21] a concentration phenomenon is treated near of non degenerate critical point of V.”
Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth (2017, unknown): “In [42], the concentration phenomenon of ground state solutions was investigated around the non-degenerate critical point of the potential V .”