INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION

Wei Chen; Chun-Lei Tang

doi:10.11948/20190017

2020 Volume 10 Issue 1

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Wei Chen, Chun-Lei Tang. INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 131-139. doi: 10.11948/20190017

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Wei Chen, Chun-Lei Tang. INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 131-139. doi: 10.11948/20190017

INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION

Wei Chen¹,
Chun-Lei Tang^1, ,

1.
School of mathematics and statistics, Southwest University, Chongqing 400715, China

Corresponding author: Email address: tangcl@swu.edu.cn (C.-L. Tang)

Abstract

Abstract

In this work, we consider the fractional Schrödinger type equations with critical exponent, concave nonlinearity and sign-changing weight function on $ \mathbb{R}^N $. With the aid of the symmetric Mountain Pass Theorem, we prove this problem has infinitely many small energy solutions.
- Fractional Schrödinger equations /
- critical exponent /
- sign-changing weight function /
- symmetric Mountain Pass Theorem
MSC: 35A15, 35B33, 35R11

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