Multiple solutions for an elliptic system with indefinite Robin boundary conditions

被引：11

作者：

Amster, Pablo ^{[1
,2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina

[2] IMAS CONICET, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2019年 / 8卷 / 01期

关键词：

Nonlinear elliptic systems; indefinite Robin condition; multiplicity of solutions; topological degree;

D O I：

10.1515/anona-2017-0034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator. Our result is based on a precise calculation of the topological degree of a suitable fixed point operator over large and small balls.

引用

页码：603 / 614

页数：12

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