Fractional problems with critical nonlinearities by a sublinear perturbation-Reference-Cited by-同舟云学术

Fractional problems with critical nonlinearities by a sublinear perturbation

Published:2020-04-01 Issue:2 Volume:23 Page:484-503
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Li Lin¹²,Tersian Stepan³

Affiliation:

1. School of Mathematics and Statistics & Chongqing Key Laboratory of Economic and Social Application Statistics , Chongqing Technology and Business University , Chongqing , 400067 , China

2. School of Mathematics and Statistics , Central South University , Changsha , 410083 , China

3. Institute of Mathematics and Informatics , Bulgarian Academy of Sciences , Acad. G. Bontchev Block 8 , Sofia , 1113 , Bulgaria

Abstract

Abstract In this paper, the existence of two nontrivial solutions for a fractional problem with critical exponent, depending on real parameters, is established. The variational approach is used based on a local minimum theorem due to G. Bonanno. In addition, a numerical estimate on the real parameters is provided, for which the two solutions are obtained.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0023/pdf

Reference23 articles.

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5. G. Bonanno, G. D’Aguì, and D. O’Regan, A local minimum theorem and critical nonlinearities. An. Ştiinţ. Univ. “Ovidius” Constanţa Ser. Mat. 24, No 2 (2016), 67–86.

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