8 papers
On the Dirichlet-Neumann operator for nearly spherical domains
Pietro Baldi, Vesa Julin, Domenico Angelo La Manna
We consider the Dirichlet-Neumann operator for a nearly spherical domain in R^n, and prove sharp analytic and tame estimates in Sobolev class. The novelty of this paper concerns te…
Liquid drop with capillarity and rotating traveling waves
Pietro Baldi, Vesa Julin, Domenico Angelo La Manna
We consider the free boundary problem for a 3-dimensional, incompressible, irrotational liquid drop of nearly spherical shape with capillarity. We study the problem from the beginn…
Eventual regularity of the volume-preserving mean curvature flow in three and two dimensions
Vedansh Arya, Seongmin Jeon, Vesa Julin
The recent work of Morini-Oronzio-Spadaro and the third author shows that, in three dimensions, a flat-flow solution of the volume-preserving mean curvature flow that converges to…
The isoperimetric inequality for the capillary energy outside convex sets
N. Fusco, V. Julin, M. Morini +1
We study the isoperimetric problem for capillary hypersurfaces with a general contact angle , outside arbitrary convex sets. We prove that the capillary energy of an…
The isoperimetric inequality for the capillary energy outside convex cylinders
Nicola Fusco, Vesa Julin, Massimiliano Morini
We study the isoperimetric problem for capillary surfaces with a general contact angle , outside convex infinite cylinders with arbitrary two-dimensional convex sect…
Harnack inequality for degenerate fully nonlinear parabolic equations
Vedansh Arya, Vesa Julin
We consider degenerate fully nonlinear parabolic equations, which generalize the p-parabolic equation with to nondivergence form operators. We prove an intrinsic Harnack ineq…