Analysis of the inhomogeneousWillmore equation

Authors

Yann Bernard, Monash University
Glen Wheeler, University of Wollongong
Valentina Mira Wheeler, University of Wollongong

Publication Name

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Abstract

We study a class of fourth-order geometric problems modeling Willmore surfaces, conformally constrained Willmore surfaces, isoperimetrically constrained Willmore surfaces, and biharmonic surfaces in the sense of Chen, among others. We prove several local energy estimates and derive a global gap lemma.

Open Access Status

This publication may be available as open access

Volume

41

Issue

1

First Page

129

Last Page

158