On the Lipschitz regularity of solutions of a minimum problem with free boundary
From MaRDI portal
Publication:933106
DOI10.4171/IFB/180zbMath1147.35116MaRDI QIDQ933106
Publication date: 21 July 2008
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)
Related Items (7)
The limit as \(p\to\infty\) in a two-phase free boundary problem for the \(p\)-Laplacian ⋮ Stratification of free boundary points for a two-phase variational problem ⋮ Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase ⋮ A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two ⋮ On the Lipschitz regularity and asymptotic behaviour of the free boundary for classes of minima of inhomogeneous two-phase alt-caffarelli functionals in Orlicz spaces ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ Lipschitz continuity of free boundary in the continuous casting problem with divergence form elliptic equation
Cites Work
- Unnamed Item
- The behavior of the free boundary near the fixed boundary for a minimization problem
- Some new monotonicity theorems with applications to free boundary problems.
- A minimum problem with free boundary for a degenerate quasilinear operator
- Regularity of a free boundary with application to the Pompeiu problem
- Regularity of a free boundary for viscosity solutions of nonlinear elliptic equations
- Variational problems with two phases and their free boundaries
This page was built for publication: On the Lipschitz regularity of solutions of a minimum problem with free boundary
