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.
Cite this article
Yann Bernard, Glen Wheeler, Valentina-Mira Wheeler, Analysis of the inhomogeneous Willmore equation. Ann. Inst. H. Poincaré Anal. Non Linéaire (2023),DOI 10.4171/AIHPC/79