Some superlinear problems with nonlocal diffusion coefficient

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Figueiredo-Sousa, Tarcyana S.¹  Morales-Rodrigo, Cristian¹  Suarez, Antonio¹ 

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

关键词: Non-local diffusion coefficient;    Superlinear problem;    Bifurcation method;   

DOI  :  10.1016/j.jmaa.2019.123519

来源: Elsevier

【 摘 要 】

We study a superlinear elliptic problem with a non-local diffusion coefficient. We show that there exists a drastic change on the structure of the set of positive solutions when the non-local coefficient grows fast enough to infinity. We combine mainly sub-super and bifurcation methods to obtain our results. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free