Steklov eigenvalues for the ∞-Laplacian

被引：0

作者：

Garcia-Azorero, Jesus ^{[1
]}

Manfredi, Juan J. ^{[2
]}

Peral, Ireneo ^{[1
]}

Rossi, Julio D. ^{[3
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] CSIC, Madrid, Spain

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2006年 / 17卷 / 03期

关键词：

Quasilinear elliptic equations; viscosity solutions; Neumann boundary conditions; eigenvalue;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Steklov eigenvalue problem for the infinity-Laplacian. To this end we consider the limit as p -> infinity of solutions of -Delta(p)u(p) = 0 in a domain Omega with vertical bar del u(p)vertical bar(p-2)partial derivative u(p)/partial derivative v = lambda vertical bar u vertical bar (p-2)u on partial derivative Omega. We obtain a limit problem that is satisfied in the viscosity sense and a geometric characterization of the second eigenvalue.

引用

页码：199 / 210

页数：12

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