Positive solutions to some asymptotically linear fractional Schrodinger equations

Abstract

This paper is devoted to prove the existence and nonexistence of positive solutions for a class of fractional Schrodinger equation in RN of the We apply a new methods to obtain the existence of positive solutions when f(u) is asymptotically linear with respect to u at infinity.

29pages

References in corpus (1)

• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Cited by in corpus (3)

• Existence and concentration of solutions for a fractional Schrodinger equations with sublinear nonlinearity
• Critical fractional $p$-Laplacian problems with possibly vanishing potentials
• Arbitrary many positive solutions for a nonlinear problem involving the fractional Laplacian