School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Ground state solutions for the fractional problems with dipole-type potential and critical exponent

Document Type

Article

Publication Date

6-2022

Abstract

We are concerned with ground state solutions of the fractional problems with dipole-type potential and critical exponent. Under certain conditions on the dipole-type potential and the parameter, we show that the structure of the Palais-Smale sequence goes to zero weakly, and establish the existence of ground state solution to the above problems by using a new analytical method not involving the concentration-compactness principle.

Comments

Original published version available at doi.org/10.3934/cpaa.2021111

Publication Title

Communications on Pure and Applied Analysis

DOI

10.3934/cpaa.2021111

Link to Full Text

Share

COinS