Green's Function Estimates for Some Linear and Nonlinear Elliptic Problems

被引：0
作者：
Verbitsky, I. E. [1 ]
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
SYMMETRY FOR ELLIPTIC PDES | 2010年 / 528卷
基金：
美国国家科学基金会;
关键词：
Green's functions; Wolff's potentials; fractional Schrodinger operators; p-Laplacian; k-Hessian; natural growth terms; BOUNDARY HARNACK PRINCIPLE; HARMONIC-FUNCTIONS; POSITIVE SOLUTIONS; EQUATIONS; OPERATORS; BEHAVIOR; DOMAINS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present global pointwise estimates of Green's functions of the fractional Schrodinger operator Lu = (-Delta)(alpha/2)u - Vu and its analogue for the p-Laplacian (1 < p < infinity) with a natural growth term, -Delta(p)u - Vu(p-1), for general potential V >= 0 (possibly a measure). Analogous results are discussed for some quasilinear and fully nonlinear elliptic PDE with source terms of supercritical growth, in particular -Delta(p)u - Vu(q) where q > p - 1, and its analogue for the k-Hessian operator.
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页码：59 / 69
页数：11
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