Nonlinear elliptic systems

Anais da Academia Brasileira de Ciências

Djairo G. Defigueiredo¹ 

[1] ,Universidade Estadual de Campinas Departamento de Matemática Campinas SP

关键词: elliptic equations;    variational methods;    palais-smale conditions;    leray-schauder degree;    a priori bounds;   

DOI  :  10.1590/S0001-37652000000400002

来源: SciELO

【 摘 要 】

In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.

【 授权许可】

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