Regularity of the free boundary for two-phase problems governed by divergence form equations and applications
From MaRDI portal
Publication:272728
DOI10.1016/j.na.2015.11.013zbMath1339.35346arXiv1509.02571OpenAlexW2118909225MaRDI QIDQ272728
Sandro Salsa, Daniela De Silva, Fausto Ferrari
Publication date: 20 April 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.02571
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)
Related Items (8)
Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients ⋮ A free boundary problem on three-dimensional cones ⋮ Free boundary theory for singular/degenerate nonlinear equations with right hand side: a non-variational approach ⋮ Two-phase free boundary problems: from existence to smoothness ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ Boundary regularity for the free boundary in the one-phase problem ⋮ Minimizers of a free boundary problem on three-dimensional cones ⋮ Perron's solutions for two-phase free boundary problems with distributed sources
Cites Work
- Unnamed Item
- Regularity of Lipschitz free boundaries for the thin one-phase problem
- Free boundary regularity for a problem with right hand side
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Elliptic partial differential equations of second order
- Some new monotonicity theorems with applications to free boundary problems.
- On the existence of convex classical solutions to a generalized Prandtl-Batchelor free-boundary problem. II
- Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
- Perron's solutions for two-phase free boundary problems with distributed sources
- Subsolutions of elliptic operators in divergence form and application to two-phase free boundary problems
- Two-phase problems with distributed sources: regularity of the free boundary
- Regularity of the free boundary in two-phase problems for linear elliptic operators
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
- On steady laminar flow with closed streamlines at large Reynolds number
- Variational problems with two phases and their free boundaries
- Partial regularity for weak solutions of an elliptic free boundary problem
- Variational Formulas on Lipschitz Domains
This page was built for publication: Regularity of the free boundary for two-phase problems governed by divergence form equations and applications