The goal of the present note is to survey and announce recent results by the authors about existence of embedded Willmore surfaces with small area constraint in Riemannian three‐manifolds.The common feature about the results presented here is that the constructions rely on suitable Lyapunov‐Schmidt reductions.

Area-constrained Willmore surfaces of small area in Riemannian three-manifolds: an approach via Lyapunov-Schmidt reduction

MALCHIODI, ANDREA;
2017

Abstract

The goal of the present note is to survey and announce recent results by the authors about existence of embedded Willmore surfaces with small area constraint in Riemannian three‐manifolds.The common feature about the results presented here is that the constructions rely on suitable Lyapunov‐Schmidt reductions.
2017
Settore MAT/05 - Analisi Matematica
Proceedings of the RIMS Conference “Regularity and Singularity for Partial Differential Equations with Conservation Laws”
Research Institute for Mathematical Sciences, Kyoto University
from June 3 (Wednesday) through June 5 (Friday) in 2015
Regularity and Singularity for Partial Differential Equations with Conservation Laws
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/64421
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