Unilateral global bifurcation for a class of quasilinear elliptic systems and applications

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Cintra, W.¹  Morales-Rodrigo, C.²  Suarez, A.² 

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Calle Tarfia S-N, Seville, Spain

关键词: Quasilinear elliptic system;    Global bifurcation;    Coexistence states;   

DOI  :  10.1016/j.jde.2019.01.021

来源: Elsevier

【 摘 要 】

In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending the bifurcation theorem of [1]. To this aim, we use several results, such that Fredholm operator of index 0 theory, eigenvalues of elliptic operators and the Krein-Rutman theorem. Lastly, we apply this result to some particular systems arising from population dynamics and determine a region of existence of coexistence states. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free