Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations

被引:0
作者
Pinchover, Yehuda [1 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源
SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY: QUANTUM FIELD THEORY, STATISTICAL MECHANICS, AND NONRELATIVISTIC QUANTUM SYSTEMS | 2007年 / 76卷
关键词
green function; ground state; heat kernel; Liouville theorem; Martin boundary; positive solution; p-Laplacian;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of the paper is to review a. variety of recent developments in the theory of positive solutions of general linear elliptic and parabolic equations of second-order on noncompact Riemannian manifolds, and to point out a number of their consequences.
引用
收藏
页码:329 / 355
页数:27
相关论文
共 84 条
[1]  
AGMON S, 1985, LECT NOTES MATH, V1159, P1
[2]  
AGMON S, 1984, N HOLLAND MATH STUD, V92, P7, DOI DOI 10.1016/S0304-0208(08)73672-7
[3]  
Agmon Shmuel, 1983, Methods of functional analysis and theory of elliptic equations, P19
[4]   Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions [J].
Aikawa, H .
MATHEMATISCHE ANNALEN, 1998, 312 (02) :289-318
[5]   Principal eigenvalues and sturm comparison via Picone's identity [J].
Allegretto, W ;
Huang, YX .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (02) :427-438
[6]  
Allegretto W, 1998, NONLINEAR ANAL-THEOR, V32, P819
[7]   First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains [J].
Ancona, A .
JOURNAL D ANALYSE MATHEMATIQUE, 1997, 72 (1) :45-92
[8]  
[Anonymous], ADV STUDIES PURE MAT
[9]  
[Anonymous], 2005, FUNCTIONAL INTEGRATI, DOI DOI 10.1002/0471667196.ESS2132.PUB2
[10]  
[Anonymous], 1997, DEGRUYTER SERIES NON