# Estimations of the best constant involving the L2 norm in Wente's inequality and compact H-surfaces in Euclidean space

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 3, page 263-300
- ISSN: 1292-8119

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topYuxin, Ge. "Estimations of the best constant involving the L2 norm in Wente's inequality and compact H-surfaces in Euclidean space." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 263-300. <http://eudml.org/doc/197328>.

@article{Yuxin2010,

abstract = {
In the first part of this paper, we study the best constant involving the L2 norm in Wente's inequality. We prove that this best constant
is universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The second
part concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We will
establish the existence of a non-trivial critical point for a plan domain with small holes.
},

author = {Yuxin, Ge},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Wente's inequality; constant mean curvature surfaces; concentration phenomena; Palais-Smale sequences.},

language = {eng},

month = {3},

pages = {263-300},

publisher = {EDP Sciences},

title = {Estimations of the best constant involving the L2 norm in Wente's inequality and compact H-surfaces in Euclidean space},

url = {http://eudml.org/doc/197328},

volume = {3},

year = {2010},

}

TY - JOUR

AU - Yuxin, Ge

TI - Estimations of the best constant involving the L2 norm in Wente's inequality and compact H-surfaces in Euclidean space

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 3

SP - 263

EP - 300

AB -
In the first part of this paper, we study the best constant involving the L2 norm in Wente's inequality. We prove that this best constant
is universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The second
part concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We will
establish the existence of a non-trivial critical point for a plan domain with small holes.

LA - eng

KW - Wente's inequality; constant mean curvature surfaces; concentration phenomena; Palais-Smale sequences.

UR - http://eudml.org/doc/197328

ER -

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