Quasiminimizers in one dimension: integrability of the derivative, inverse function and obstacle problems

被引：0
|
作者：
O. Martio
C. Sbordone
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
[2] Complesso Universitario di Monte Sant’Angelo,Dipartimento di Matematicae Applicazioni
来源：
Annali di Matematica Pura ed Applicata | 2007年 / 186卷
关键词：
49N60; 31C45;
D O I：
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学科分类号：
摘要：
It is shown that a K-quasiminimizer u for the one-dimensional p-Dirichlet integral is a K′-quasiminimizer for the q-Dirichlet integral, 1  ≤  q  <  p1(p, K), where p1(p, K) > p; the exact value for p1(p, K) is obtained. The inverse function of a non-constant u is also K′′-quasiminimizer for the s-Dirichlet integral and the range of the exponent s is specified. Connections between quasiminimizers, superminimizers and solutions to obstacle problems are studied.
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页码：579 / 590
页数：11
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