S 2-type Parametric Surfaces with Prescribed Mean Curvature and Minimal Energy

2003 ◽  
pp. 61-77 ◽  
Author(s):  
Paolo Caldiroli ◽  
Roberta Musina
Keyword(s):  
Mean Curvature ◽  
Minimal Energy ◽  
Parametric Surfaces ◽  
Prescribed Mean Curvature

Interior Hölder estimates for non-parametric surfaces of prescribed mean curvature

2003 ◽  
Vol 133 (3) ◽  
pp. 625-638
Author(s):  
Fei-Tsen Liang
Keyword(s):  
Mean Curvature ◽  
Bounded Solution ◽  
Parametric Surfaces ◽  
Global Oscillation ◽  
Curvature Equation ◽  
Prescribed Mean Curvature ◽  
Mean Curvature Equation ◽  
The Mean ◽  
Hölder Estimates ◽  
Non Parametric

For a bounded solution to the mean curvature equation in Rn, we shall obtain its Hölder estimates, with exponent α, which are in linear proportion to the number obtained by dividing its global oscillation by the αth power of the distance of a point to the boundary of the domain after a suitable rescaling.

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

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