On some elliptic interface problems with nonhomogeneous jump conditions

被引：1

作者：

Bhaskar, T. Gnana ^{[1
]}

Perera, Kanishka ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2013年 / 2卷 / 02期

关键词：

Elliptic interface problems; nonhomogeneous jump conditions; nontrivial solutions; Morse theory; critical groups; nonlinear eigenvalue problems; Yang index; anisotropic problems; concentration compactness; IMPULSIVE DIFFERENTIAL-EQUATIONS; LOCALIZED CHEMICAL-REACTIONS;

D O I：

10.1515/anona-2013-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension to the whole space is proved using concentration compactness arguments.

引用

页码：195 / 211

页数：17

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