Fractional eigenvalues

被引：276

作者：

Lindgren, Erik ^{[1
]}

Lindqvist, Peter ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 49卷 / 1-2期

关键词：

LAPLACE OPERATOR; 1ST EIGENVALUE; EQUATIONS;

D O I：

10.1007/s00526-013-0600-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the non-local eigenvalue problem 2 integral(Rn) vertical bar u(y) - u(x)|p(-2)(u(y) - u(x))/|y - x|(alpha p) dy + lambda|u(x)|p(-2)u(x)=0 for large values of p and derive the limit equation as p -> infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.

引用

页码：795 / 826

页数：32

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