Spectral and stochastic properties of the f-Laplacian, solutions of PDEs at infinity and geometric applications

被引：14

作者：

Bessa, G. Pacelli ^{[1
]}

Pigola, Stefano ^{[2
]}

Setti, Alberto ^{[2
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

[2] Univ Insubria Como, Sez Matemat DiSAT, I-22100 Como, Italy

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2013年 / 29卷 / 02期

关键词：

Weighted Laplacians; Feller property; stochastic completeness; essential spectrum; gradient Ricci solitons; MAXIMUM PRINCIPLE; RICCI; COMPLETENESS; MANIFOLDS; GROWTH;

D O I：

10.4171/RMI/731

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to suggest a new perspective to study qualitative properties of solutions of semilinear elliptic partial differential equations defined outside a compact set. The relevant tools in this setting come from spectral theory and from a combination of stochastic properties of the differential operators in question. Possible links between spectral and stochastic properties are analyzed in detail.

引用

页码：579 / 610

页数：32

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