UNIQUENESS OF SOLUTIONS FOR ELLIPTIC SYSTEMS AND FOURTH ORDER EQUATIONS INVOLVING A PARAMETER

被引：0

作者：

Cowan, Craig ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 02期

关键词：

Minimal solution; biharmonic; uniqueness; EXTREMAL SOLUTIONS; REGULARITY; MINIMIZERS;

D O I：

10.3934/cpaa.2016.15.519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the equation Delta(2)(u) = lambda f(u) Omega, with either Navier or Dirichlet boundary conditions. We show some uniqueness results under certain constraints on the parameter lambda. We obtain similar results for the sytem {-Delta u = lambda f(v) Omega, -Delta v = gamma g(u) Omega, u = v = 0 partial derivative Omega.

引用

页码：519 / 533

页数：15

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