Two-phase semilinear free boundary problem with a degenerate phase

DOI10.1007/s00526-010-0367-6zbMath1219.35375arXiv1409.4114OpenAlexW2006130813MaRDI QIDQ543387

Norayr Matevosyan, Arshak Petrosyan

Publication date: 17 June 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4114

zbMATH Keywords

energy functionaltwo-phase free boundary problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Multiphase and multicomponent flows (76T99) Free boundary problems for PDEs (35R35)

Related Items (2)

Regularity issues for semilinear PDE-s (a narrative approach) ⋮ The nodal set of solutions to some elliptic problems: singular nonlinearities

Cites Work

• Hausdoff measure estimates of a free boundary for a minimum problem
• Regularity of the free boundary in a two-phase semilinear problem in two dimensions
• Partial regularity for weak solutions of an elliptic free boundary problem
• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
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