Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti–Rabinowitz condition-Reference-Cited by-同舟云学术

Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti–Rabinowitz condition

Published:2021-02-17 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Pei Ruichang¹^ORCID

Affiliation:

1. Department of Mathematics , Tianshui Normal University , Tianshui , 741001 , P.R. China

Abstract

Abstract The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or critical exponential growth (subcritical polynomial growth) at infinity. However, it need not satisfy the Ambrosetti–Rabinowitz (AR) condition. Some existence results of nontrivial solutions are established via Mountain Pass Theorem combined with the fractional Moser–Trudinger inequality.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0171/pdf

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