Radial oscillatory solutions of some quasi-linear elliptic equations

被引：0

作者：

Zhang, ZC ^{[1
]}

Li, KT ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 8-9期

基金：

中国国家自然科学基金;

关键词：

quasi-linear elliptic equation; radial oscillatory solution; scaling argument;

D O I：

10.1016/S0898-1221(04)90126-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the radial oscillatory solutions with a prescribed number of zeros by a scaling argument and obtain precise estimates of the gap between the successive zeros, which improves and extends some of the results existing in the literatures [1,2]. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1327 / 1334

页数：8

共 50 条

[31] Existence of multiple solutions for quasi-linear degenerate elliptic equations
Yawei Wei
ScienceChina(Mathematics), 2022, 65 (05) : 971 - 992
[32] A priori estimates for the difference of solutions to quasi-linear elliptic equations
Markus Biegert
manuscripta mathematica, 2010, 133 : 273 - 306
[33] Isolated singularities of solutions to quasi-linear elliptic equations with absorption
Liskevich, Vitali
Skrypnik, I. I.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (01) : 536 - 544
[34] ON SEQUENCES OF SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS - PRELIMINARY REPORT
FINN, RS
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) : 273 - 273
[35] Existence of multiple solutions for quasi-linear degenerate elliptic equations
Wei, Yawei
SCIENCE CHINA-MATHEMATICS, 2022, 65 (05) : 971 - 992
[36] Positive solutions of quasi-linear elliptic equations with dependence on the gradient
F. Faraci
D. Motreanu
D. Puglisi
Calculus of Variations and Partial Differential Equations, 2015, 54 : 525 - 538
[37] EXISTENCE OF SOLUTIONS OF QUASI-LINEAR ELLIPTIC-EQUATIONS IN RN
MICHAEL, FH
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1986, 17 (04): : 497 - 503
[38] A PRIORI BOUNDS FOR SOLUTIONS OF QUASI-LINEAR ELLIPTIC DIFFERENTIAL EQUATIONS
SCHULTZ, MH
JOURNAL OF MATHEMATICS AND MECHANICS, 1968, 18 (01): : 27 - &
[39] Maximum principles for generalized solutions of quasi-linear elliptic equations
Wang, XD
Xu, XZ
Liang, XT
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2003, 24 (04) : 458 - 467
[40] Positive solutions of quasi-linear elliptic equations with dependence on the gradient
Faraci, F.
Motreanu, D.
Puglisi, D.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (01) : 525 - 538

← 1 2 3 4 5 →