naa a22 4500 510811183 CHVBK 20180411083443.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s12220-011-9263-3 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9263-3 Mondino Andrea SISSA, via Beirut 2-4, 34014, Trieste, Italy aut The Conformal Willmore Functional: A Perturbative Approach [Elektronische Daten] [Andrea Mondino] The conformal Willmore functional (which is conformal invariant in general Riemannian manifolds (M,g)) is studied with a perturbative method: the Lyapunov-Schmidt reduction. Existence of critical points is shown in ambient manifolds (ℝ3,g ϵ )—where g ϵ is a metric close and asymptotic to the Euclidean one. With the same technique a non-existence result is proved in general Riemannian manifolds (M,g) of dimension three. Mathematica Josephina, Inc., 2011 Willmore functional nationallicence Conformal geometry nationallicence Perturbative method nationallicence Mean curvature nationallicence Nonlinear elliptic PDE nationallicence Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 764-811 1050-6926 23:2<764 2013 23 12220 https://doi.org/10.1007/s12220-011-9263-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9263-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mondino Andrea SISSA, via Beirut 2-4, 34014, Trieste, Italy aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 764-811 1050-6926 23:2<764 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer