Existence and multiplicity of solutions to elliptic equations of fourth order on compact manifolds

被引：0

作者：

Benalili, Mohammed ^{[1
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Maths, Tilimsen, Algeria

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 6卷 / 03期

关键词：

Elliptic equation of fourth order; Critical Sobolev exponent; CRITICAL EXPONENTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a fourth order elliptic equation on compact Riemannian manifolds, the function f involved in the nonlinearity is of changing sign which makes the analysis more difficult than the case where f is of constant sign. We prove the multiplicity of solutions in the subcritical case which is the subject of the first theorem. In the second one we establish the existence of solutions to the equation with critical Sobolev growth.

引用

页码：203 / 225

页数：23

共 50 条

[31] Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities
Shang, Yan-Ying
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) : 2724 - 2734
[32] EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS
XUAN Benjin
CHEN Zuchi (Department of Mathematics
SystemsScienceandMathematicalSciences, 1999, (01) : 59 - 69
[33] GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER ORDER NONLINEAR DAMPED WAVE EQUATIONS
Takeda, Hiroshi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 1358 - 1367
[34] Multiplicity and Existence Results for a Nonlinear Elliptic Equation With Sobolev Exponent
Bouchech, Zakaria
Chtioui, Hichem
ADVANCED NONLINEAR STUDIES, 2010, 10 (03) : 537 - 571
[35] On existence and asymptotic behavior of solutions of elliptic equations with nearly critical exponent and singular coefficients
Li, Shiyu
Wei, Gongming
Duan, Xueliang
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (64) : 1 - 25
[36] On a fourth order elliptic equation with supercritical exponent
Bouh, Kamal Ould
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[37] EXISTENCE OF POSITIVE SOLUTIONS FOR HARDY NONLOCAL FRACTIONAL ELLIPTIC EQUATIONS INVOLVING CRITICAL NONLINEARITIES
Rastegarzadeh, Somayeh
Nyamoradi, Nemat
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 53 (02) : 731 - 746
[38] Existence Results for the Einstein-Scalar Field Lichnerowicz Equations on Compact Riemannian Manifolds in the Null Case
Quốc Anh Ngô
Xingwang Xu
Communications in Mathematical Physics, 2015, 334 : 193 - 222
[39] Multiplicity of solutions for quasilinear elliptic systems with critical growth
Silva, Elves A. B.
Xavier, Magda S.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 13 (5-6): : 619 - 642
[40] Multiplicity of solutions for quasilinear elliptic systems with critical growth
Elves A. B. Silva
Magda S. Xavier
Nonlinear Differential Equations and Applications NoDEA, 2007, 13 : 619 - 642

← 1 2 3 4 5 →