Topological Methods in Nonlinear Analysis

Multiple positive solutions for fractional elliptic systems involving sign-changing weight

Haining Fan

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We study multiplicity results for positive solutions for a fractional elliptic system involving both concave-convex and critical growth terms. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we investigate how the coefficient $h$ of the critical nonlinearity affects the number of positive solutions to this problem and get a relationship between the number of positive solutions and the topology of the global maximum set of $h$.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 49, Number 2 (2017), 757-781.

Dates
First available in Project Euclid: 28 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1495936817

Digital Object Identifier
doi:10.12775/TMNA.2017.009

Mathematical Reviews number (MathSciNet)
MR3670485

Zentralblatt MATH identifier
1375.35179

Citation

Fan, Haining. Multiple positive solutions for fractional elliptic systems involving sign-changing weight. Topol. Methods Nonlinear Anal. 49 (2017), no. 2, 757--781. doi:10.12775/TMNA.2017.009. https://projecteuclid.org/euclid.tmna/1495936817


Export citation