Browsing by Subject "Free boundary problems"
Now showing items 1-4 of 4
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Article
The calibration method for the Thermal Insulation functional
(EDP Sciences, 2022)We provide minimality criteria by construction of calibrations for functionals arising in the theory of thermal insulation.
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Article
The method of fundamental solutions for axisymmetric potential problems
(1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the first, the boundary conditions as well as the domain of the problem, are ...
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Article
Regularity for the nonlinear Signorini problem
(2008)We study the regularity of the solution to a fully nonlinear version of the thin obstacle problem. In particular we prove that the solution is C1, α for some small α > 0. This extends a result of Luis Caffarelli of 1979. ...
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Article
Two-phase transition problems for fully nonlinear parabolic equations of second order
(2005)In this paper we study an extension of a regularity theory presented by I. Athanasopoulos, L. Caffarelli and S. Salsa in [3], [4], to some fully nonlinear parabolic equations of second order. We investigate a two-phase ...