Starshapedness of level sets for solutions of nonlinear elliptic equations

被引：4

作者：

Francini, E ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat Ulisse Dini, I-50134 Florence, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 1998年 / 193卷

关键词：

starshapedness; maximum principle;

D O I：

10.1002/mana.19981930106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring Omega of IRn. We prove that a function which characterizes the starshapedness does not attain its minimum in Omega.

引用

页码：49 / 56

页数：8

共 50 条

[41] Nonexistence of nodal solutions of nonlinear elliptic equations
Bae, S
Pahk, DH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (08) : 1111 - 1122
[42] Nonclassical solutions of fully nonlinear elliptic equations
Nadirashvili, Nikolai
Vladut, Serge
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2007, 17 (04) : 1283 - 1296
[43] ON THE REMOVABLE SINGULARITY OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
Mamedov, Farman I.
Amanov, Rabil A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 37 (45): : 95 - 110
[44] On Singular Solutions of Nonlinear Elliptic and Parabolic Equations
Louis Nirenberg
Milan Journal of Mathematics, 2011, 79 : 3 - 12
[45] Priori estimates for solutions to nonlinear elliptic equations
Wenxiong, Chen
Li, Congming
Archive for Rational Mechanics and Analysis, 1993, 122 (02)
[46] On generalized and viscosity solutions of nonlinear elliptic equations
Hartenstine, D
Schmitt, K
ADVANCED NONLINEAR STUDIES, 2004, 4 (03) : 289 - 306
[47] Positive evanescent solutions of nonlinear elliptic equations
Djebali, Smail
Moussaoui, Toufik
Mustafa, Octavian G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (02) : 863 - 870
[48] On the existence of positive solutions of nonlinear elliptic equations
Mâatoug, L
Masmoudi, S
POTENTIAL ANALYSIS, 2001, 15 (03) : 187 - 197
[49] On positive solutions of a class of nonlinear elliptic equations
Ehrnstrom, Mats
Mustafa, Octavian G.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (04) : 1147 - 1154
[50] Algorithms and visualization for solutions of nonlinear elliptic equations
Chen, G
Zhou, JX
Ni, WM
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (07): : 1565 - 1612

← 1 2 3 4 5 →