Existence of solutions for asymptotically 'linear' p-Laplacian equations

被引：24

作者：

Liu, S ^{[1
]}

Li, S ^{[1
]}

机构：

[1] Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1112/S0024609303002546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under very general conditions, a proof is given, via Morse theory, of the existence of solutions for asymptotically 'linear' p-Laplacian equations, where the asymptotic limit may be greater than the second eigenvalue. The existence of nonzero solutions is also considered.

引用

页码：81 / 87

页数：7

共 50 条

[41] Existence and boundary behavior of solutions to p-Laplacian elliptic equations
Ling Mi
[J]. Boundary Value Problems, 2016
[42] The existence of solutions for fractional differential equations with p-Laplacian at resonance
Jiang, Weihua
Qiu, Jing
Yang, Caixia
[J]. CHAOS, 2017, 27 (03)
[43] EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS
Kim, Yong-In
[J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (02): : 103 - 109
[44] EXISTENCE OF POSITIVE SOLUTIONS OF p-LAPLACIAN FUNCTIONAL DIFFERENTIAL EQUATIONS
Song, Chang-Xiu
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[45] Asymptotically linear Dirichlet problem for the p-Laplacian
Li, GB
Zhou, HS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (08) : 1043 - 1055
[46] Existence of solutions for semi-linear equations involving the p-Laplacian:: the non coercive case
Birindelli, I
Demengel, F
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (04) : 343 - 366
[47] Existence of solutions for semi-linear equations involving the p-Laplacian: the non coercive case
Isabeau Birindelli
Françoise Demengel
[J]. Calculus of Variations and Partial Differential Equations, 2004, 20 : 343 - 366
[48] Multiple Solutions for p-Laplacian Type Problems with an Asymptotically p-linear Term
Candela, Anna Maria
Palmieri, Giuliana
[J]. ANALYSIS AND TOPOLOGY IN NONLINEAR DIFFERENTIAL EQUATIONS: A TRIBUTE TO BERNHARD RUF ON THE OCCASION OF HIS 60TH BIRTHDAY, 2014, 85 : 175 - 186
[49] Existence of Homoclinic Orbits for a Class of Asymptotically p-Linear Difference Systems with p-Laplacian
Zhang, Qiongfen
Tang, X. H.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[50] Existence of homoclinic orbits for a class of asymptotically p-linear aperiodic p-Laplacian systems
Zhang, Qiongfen
Tang, X. H.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) : 7164 - 7173

← 1 2 3 4 5 →