Some qualitative properties of solutions of quasilinear elliptic equations and applications

被引：1

作者：

Kurkut, L ^{[1
]}

Pasic, M ^{[1
]}

Zubrinic, D ^{[1
]}

机构：

[1] Fac Elect & Comp Engn, Dept Math, Zagreb 10000, Croatia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 170卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study quasilinear elliptic equations of Leray-Lions type in W-1.p (Ohm), maximum principles, nonexistence and existence of solutions, the control of lower ( upper) bound for essential supremum ( essential infimum) of solutions, sign-changing solulions, local and global oscillation of solutions, geometry of domain, generating singularities of solutions, and lower bounds on constants appearing in Schauder, Agmon, Douylis, and Nirenberg estimates. (C) 2001 Academic Press.

引用

页码：247 / 280

页数：34

共 50 条

[31] Qualitative properties of positive solutions of elliptic equations [J].

Berestycki, H .

PARTIAL DIFFERENTIAL EQUATIONS: THEORY AND NUMERICAL SOLUTION, 2000, 406 :34-44

[32] LOCAL AND GLOBAL PROPERTIES OF SOLUTIONS OF QUASILINEAR ELLIPTIC-EQUATIONS [J].

GUEDDA, M ;

VERON, L .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 76 (01) :159-189

[33] LOCAL VANISHING PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC QUASILINEAR EQUATIONS [J].

DIAZ, JI ;

VERON, L .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 290 (02) :787-814

[34] Entire solutions of quasilinear elliptic equations [J].

Serrin, James .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) :3-14

[35] Multibump solutions for quasilinear elliptic equations [J].

Liu, Jia-Quan ;

Wang, Zhi-Qiang ;

Guo, Yu-Xia .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (09) :4040-4102

[36] Positive solutions of quasilinear elliptic equations [J].

Galakhov, EI .

MATHEMATICAL NOTES, 2005, 78 (1-2) :185-193

[37] Existence of solutions for quasilinear elliptic equations [J].

doO, JMB .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 207 (01) :104-126

[38] ON POSITIVE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS [J].

Loc, Nguyen Hoang ;

Schmitt, Klaus .

DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (9-10) :829-842

[39] Entire solutions of quasilinear elliptic equations [J].

Gladkov, Alexander ;

Slepchenkov, Nickolai .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (03) :750-775

[40] Positive solutions of quasilinear elliptic equations [J].

Constantin, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 213 (01) :334-339

← 1 2 3 4 5 →