Q-curvature type problem on bounded domains of Rn

被引:3
作者
Abdelhedi, Wael [1 ]
Chtioui, Hichem [1 ]
Hajaiej, Hichem [2 ]
机构
[1] Sfax Univ, Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia
[2] Calif State Univ Los Angeles, 5151 Univ Dr, Los Angeles, CA 90032 USA
关键词
Nonlinear elliptic PDE; critical exponent; lack of compactness; critical points at infinity; ELLIPTIC EQUATION; SOBOLEV EXPONENT; 4TH-ORDER; COMPACTNESS; INVARIANT; SYSTEMS;
D O I
10.3233/ASY-181473
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish compactness and existence results to a Branson-Paneitz type problem on a bounded domain of R-n with Navier boundary condition.
引用
收藏
页码:143 / 170
页数:28
相关论文
共 23 条
[1]  
Abdelhedi W, 2006, ADV NONLINEAR STUD, V6, P511
[2]   A COMPLETE STUDY OF THE LACK OF COMPACTNESS AND EXISTENCE RESULTS OF A FRACTIONAL NIRENBERG EQUATION VIA A FLATNESS HYPOTHESIS, I [J].
Abdelhedi, Wael ;
Chtioui, Hichem ;
Hajaiej, Hichem .
ANALYSIS & PDE, 2016, 9 (06) :1285-1316
[3]   Existence of Conformal Metrics with Prescribed Q-Curvature [J].
Al-Ghamdi, Mohammed Ali ;
Chtioui, Hichem ;
Rigane, Afef .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[4]   ON A NONLINEAR ELLIPTIC EQUATION INVOLVING THE CRITICAL SOBOLEV EXPONENT - THE EFFECT OF THE TOPOLOGY OF THE DOMAIN [J].
BAHRI, A ;
CORON, JM .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (03) :253-294
[5]   PERIODIC-SOLUTIONS OF HAMILTONIAN-SYSTEMS OF 3-BODY TYPE [J].
BAHRI, A ;
RABINOWITZ, PH .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1991, 8 (06) :561-649
[6]  
Bahri A., 1989, Research Notes in Mathematics, V182
[7]   Some existence results for a Paneitz type problem via the theory of critical points at infinity [J].
Ben Ayed, M ;
El Mehdi, K ;
Hammami, M .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (02) :247-278
[8]   On the prescribed scalar curvature problem on 4-manifolds [J].
BenAyed, M ;
Chen, YS ;
Chtioui, H ;
Hammami, M .
DUKE MATHEMATICAL JOURNAL, 1996, 84 (03) :633-677
[9]   Conformal metrics with prescribed Q-curvature on Sn [J].
Bensouf, Aymen ;
Chtioui, Hichem .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2011, 41 (3-4) :455-481
[10]  
Bouchech Z, 2010, ADV NONLINEAR STUD, V10, P537