A perturbation result for the curvature problem on

2014 ◽  
Vol 97 ◽  
pp. 4-14 ◽  
Author(s):  
Guoyuan Chen ◽  
Youquan Zheng
Keyword(s):  
Perturbation Result ◽  
Curvature Problem

On a planar conformal curvature problem

2021 ◽  
Author(s):  
Sun Yijing ◽  
Tan Yuxin ◽  
Shuang Zhen
Keyword(s):  
Conformal Curvature ◽  
Curvature Problem

Topological tools for the prescribed scalar curvature problem on S n

2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Dina Abuzaid ◽  
Randa Ben Mahmoud ◽  
Hichem Chtioui ◽  
Afef Rigane
Keyword(s):  
Scalar Curvature ◽  
Conformal Metrics ◽  
Standard Sphere ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Hopf Formula ◽  
Curvature Problem ◽  
Formula Type

AbstractIn this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain

2004 ◽  
Vol 4 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Patrick Habets ◽  
Pierpaolo Omari
Keyword(s):  
Positive Solutions ◽  
Mean Curvature ◽  
General Domain ◽  
Prescribed Mean Curvature ◽  
Existence Of Positive Solutions ◽  
Curvature Problem

AbstractThe existence of positive solutions is proved for the prescribed mean curvature problemwhere Ω ⊂ℝ

On the prescribed Q-curvature problem on

2010 ◽  
Vol 348 (11-12) ◽  
pp. 635-638 ◽  
Author(s):  
Hichem Chtioui ◽  
Afef Rigane
Keyword(s):  
Curvature Problem

scholarly journals Multiplicity results for the assigned Gauss curvature problem in

2009 ◽  
Vol 70 (8) ◽  
pp. 2870-2881 ◽  
Author(s):  
Jean Dolbeault ◽  
Maria J. Esteban ◽  
Gabriella Tarantello
Keyword(s):  
Gauss Curvature ◽  
Multiplicity Results ◽  
Curvature Problem
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