POWER-TYPE QUASIMINIMIZERS

被引：9

作者：

Bjorn, Anders ^{[1
]}

Bjorn, Jana ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2011年 / 36卷 / 01期

关键词：

Doubling measure; nonlinear; p-harmonic; Poincare inequality; potential theory; quasiminimizer; quasisubharmonic; quasisubininimizer; quasisuperharmonic; quasisuperminimizer; METRIC-SPACES; BOUNDARY-REGULARITY; VARIATIONAL INTEGRALS; ELLIPTIC-EQUATIONS; QUASI-MINIMA; INEQUALITIES; HARNACK; INTEGRABILITY;

D O I：

10.5186/aasfm.2011.3619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we examine the quasiminimizing properties of radial power-type functions u(x) = vertical bar x vertical bar(alpha) in R-n. We find the optimal quasiminimizing constant whenever u is a quasiminfinizer of the p-Dirichlet integral, p not equal n, and similar results when u is a quasisub- and quasisuperminimizer. We also obtain similar results for log-powers when p = n.

引用

页码：301 / 319

页数：19

共 25 条

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Bjorn, Anders
Bjorn, Jana
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Bjorn, Anders
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