Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-29T19:45:20.560Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  15 August 2002

Ge Yuxin
Ge Yuxin*
Affiliation:
([email protected])
Get access

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 constantis universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The secondpart concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We willestablish the existence of a non-trivial critical point for a plan domain with small holes.

Keywords

Wente's inequalityconstant mean curvature surfacesconcentration phenomenaPalais-Smale sequences.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 263 - 300
Copyright
© EDP Sciences, SMAI, 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)