5 citations · 15 across the 7 of their papers we have counts for
7 papers
Rigidity of -harmonic maps of low degree
Jasmin Hörter, Tobias Lamm, Mario Micallef
In 1981, Sacks and Uhlenbeck introduced their famous -energy as a way to approximate the Dirichlet energy and produce harmonic maps from surfaces into Riemannian manifolds. Howe…
A gap theorem for -harmonic maps between two-spheres
Tobias Lamm, Andrea Malchiodi, Mario Micallef
In this paper we consider approximations introduced by Sacks-Uhlenbeck of the harmonic energy for maps from into . We continue the analysis in [6] about limits of -ha…
Limits of -harmonic maps
Tobias Lamm, Andrea Malchiodi, Mario Micallef
Critical points of approximations of the Dirichlet energy à la Sacks-Uhlenbeck are known to converge to harmonic maps in a suitable sense. However, we show that not every harmonic…
Splitting of 3-Manifolds and Rigidity of Area-Minimising Surfaces
Mario Micallef, Vlad Moraru
In this paper we prove an area comparison result for certain totally geodesic surfaces in 3-manifolds with a lower bound on the scalar curvature. This result is a variant of a comp…
The work of Jesse Douglas on Minimal Surfaces
Jeremy Gray, Mario Micallef
This paper describes the work of Jesse Douglas on the Plateau problem, work for which he was awarded a Fields Medal in 1936, and considers the contributions Tibor Rado made in the…
Comparison between Second Variation of Area and Second Variation of Energy of a Minimal Surface
Norio Ejiri, Mario Micallef
The conformal parameterisation of a minimal surface is harmonic. Therefore, a minimal surface is a critical point of both the energy functional and the area functional. In this pap…