Doubly Critical Problems Involving Fractional Laplacians in ℝ N-Reference-Cited by-同舟云学术

Doubly Critical Problems Involving Fractional Laplacians in ℝ N

Published:2017-01-04 Issue:4 Volume:17 Page:677-690
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Yang Jianfu¹,Wu Fengjie¹

Affiliation:

1. Department of Mathematics , Jiangxi Normal University , Nanchang , Jiangxi 330022 , P. R. China

Abstract

Abstract In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝ N

{\mathbb{R}^{N}}

involving fractional Laplacians. Our approach is elementary without the use of neither the concentration-compactness principle nor the extension argument developed in [4].

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2016-6012/pdf

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