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

Wei Chen | Zendy; ChunLei Tang | Zendy

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

Author(s) -

Wei Chen,

ChunLei Tang

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190017

Subject(s) - sign (mathematics) , mathematics , mountain pass theorem , weight function , function (biology) , mathematical analysis , exponent , concave function , nonlinear system , critical exponent , sign function , mathematical physics , physics , scaling , geometry , quantum mechanics , regular polygon , linguistics , philosophy , evolutionary biology , biology

In this work, we consider the fractional Schrodinger 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.

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