Abstract
AbstractWe study a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type albeit of very general form allowing the dependence from the unknown variableuand the positionx. We employ the regularity theory of$$\Lambda $$Λ-minimizers to study the regularity of the free interface. The hallmark of the paper is the mild regularity assumption concerning the dependence of the coefficients with respect toxanduthat is of Hölder type.
Funder
Università degli Studi di Salerno
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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