Existence of multiple positive solutions for fractional Laplace problems with critical growth
Date
2021-03-31
Authors
Zhang, Yajing
Li, Qiaoqin
Pang, Lu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove the existence of multiple positive solutions of fractional Laplace problems with critical growth, we consider the concave power case or the convex power case. We establish the relationship between the number of the local maximum points of the coefficient function of the critical nonlinearity and the number of the positive solutions of the equation.
Description
Keywords
Positive solutions, Fractional Laplace problems, Critical growth, Variational method, Nehari manifold
Citation
Zhang, Y., Li, Q., & Pang, L. (2021). Existence of multiple positive solutions for fractional Laplace problems with critical growth. <i>Electronic Journal of Differential Equations, 2021</i>(23), pp. 1-27.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.