Regularity in a one-phase free boundary problem for the fractional Laplacian

We provide a rather complete description of the sharp regularity theory to a family of heterogeneous, two-phase free boundary problems, J γ → min, ruled by nonlinear,

In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of the free boundary in a general two-phase free boundary problem for the

a problem the unknown angular velocity co for the appropriate coordinate system in which the solution is stationary can be determined by the equilibrium

3-dimensional manifold with boundary M which prevents interior contact between minimizing surfaces in M and the boundary of M unless the surface is totally contained

(The family H~ represents all possible self adjoint extensions of a half line « Hamiltonian » Ho with the boundary point removed.. The interaction of the particle

Previous results related to regularity questions for free convolutions of probability measures seem to indicate that these operations typically do not favor the existence of a

WOLANSKI, Uniform estimates and limits for a two phase parabolic singular perturbation problem, Indiana Univ. WOLANSKI, Pointwise and viscosity

CAFFARELLI, Existence and regularity for a minimum pro- blem with free boundary, J. FRIEDMAN, Axially symmetric