On Critical Fractional p&q-Laplacian Equations with Potential Vanishing at Infinity-Reference-Cited by-同舟云学术

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On Critical Fractional p&q-Laplacian Equations with Potential Vanishing at Infinity

Published:2022-11-24 Issue:12 Volume:6 Page:696
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Wang Li,Zhong Qiaocheng^ORCID,Niu Rui

Abstract

The goal of the present paper is to investigate the critical Schrödinger-type fractional p&q-Laplacian problems. By employing the mountain pass theorem, we prove the existence and asymptotic property of nontrivial solutions for the problem.

Funder

National Natural Science Foundation of China

Jiangxi provincial education department

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/6/12/696/pdf

Reference29 articles.

1. Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity;J. Differ. Equ.,2013

2. Existence of solutions for a class of p-Laplacian type equation with critical growth and potential vanishing at infinity;Discret. Contin. Dyn. Syst.,2016

3. Hitchhikers guide to the fractional Sobolev spaces;Bull. Sci. Math.,2012

4. Bisci, G.M., Rădulescu, V., and Servadei, R. (2016). Variational Methods for Nonlocal Fractional Problems, Cambridge University Press.

5. Fractional quantum mechanics and Lévy path integrals;Phys. Lett. A,2000

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