Existence of solution for a nonvariational elliptic system with exponential growth in dimension two

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

de Araujo, Anderson L. A.¹  Montenegro, Marcelo² 

[1] Univ Fed Vicosa, Dept Matemat, Ave Peter Henry Rolfs S-N, BR-36570900 Vicosa, MG, Brazil

[2] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

关键词: Elliptic system;    Existence of solution;    Subcritical and critical exponential growth;    Galerkin scheme;   

DOI  :  10.1016/j.jde.2017.10.022

来源: Elsevier

【 摘 要 】

We prove existence of solution for an elliptic system on a bounded domain in dimension two. We use the Galerkin scheme in the product of Hilbert spaces. The nonlinearities may have subcritical or critical exponential growth. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free