Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

12-20-2021

Abstract

In this article, we consider the existence of ground state positive solutions for nonlinear Schrodinger equations of the fractional (p,q)-Laplacian with Rabinowitz potentials defined in Rn,

We prove existence by confining different ranges of the parameter λ under the subcritical or critical nonlinearities caused by σ=0 or 1, respectively. In particular, a delicate calculation for the critical growth is provided so as to avoid the failure of a global Palais-Smale condition for the energy functional.

Comments

© 2021.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Electron. J. Differential Equations

Included in

Mathematics Commons

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