Recent results on nonlinear elliptic free boundary problems
From MaRDI portal
Publication:2081566
DOI10.1007/s10013-022-00565-4zbMath1500.35314arXiv2204.04942OpenAlexW4280546339MaRDI QIDQ2081566
Sandro Salsa, Fausto Ferrari, Claudia Lederman
Publication date: 13 October 2022
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.04942
nonlinear elliptic equationsdegenerate elliptic equationsBernoulli-type problemssmoothness and regularity of solutions of PDE
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35) Viscosity solutions to PDEs (35D40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian
- Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds
- Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian
- Free boundary regularity for a problem with right hand side
- Solvability of the three-dimensional thermistor problem
- Uniqueness of the blowup at isolated singularities for the Alt-Caffarelli functional
- A two phase elliptic singular perturbation problem with a forcing term
- On stationary thermo-rheological viscous flows
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients
- Multiple integrals in the calculus of variations
- A variational treatment for general elliptic equations of the flame propagation type: regularity of the free boundary
- A minimum problem with free boundary in Orlicz spaces
- On the uniqueness of a solution of a two-phase free boundary problem
- New diffusion models in image processing
- A free boundary problem for the \(p(x)\)-Laplacian
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- On the Stokes conjecture for the wave of extreme form
- Regularity in elliptic free boundary problems. I
- Existence of solutions of two-phase free boundary problems for fully nonlinear elliptic equations of second order
- Some new monotonicity theorems with applications to free boundary problems.
- Free boundary regularity for a degenerate problem with right hand side
- Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D
- A minimum problem with free boundary for a degenerate quasilinear operator
- Two-phase problems for linear elliptic operators with variable coefficients: Lipschitz free boundaries are \(C^{1,\gamma}\)
- Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
- Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side
- An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
- Regularity of the free boundary for the two-phase Bernoulli problem
- Domain variation solutions for degenerate two phase free boundary problems
- Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
- Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
- Free transmission problems
- Perron's solutions for two-phase free boundary problems with distributed sources
- Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the \(p(x)\)-Laplacian
- On viscosity and weak solutions for non-homogeneous \(p\)-Laplace equations
- Two-phase problems with distributed sources: regularity of the free boundary
- Inhomogeneous minimization problems for the \(p(x)\)-Laplacian
- Regularity of the free boundary in two-phase problems for linear elliptic operators
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
- A two-phase free boundary problem for harmonic measure
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
- REGULARITY OF FREE BOUNDARIES OF TWO-PHASE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER. II. FLAT FREE BOUNDARIES ARE LIPSCHITZ
- On steady laminar flow with closed streamlines at large Reynolds number
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- A singular energy minimizing free boundary
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- User’s guide to viscosity solutions of second order partial differential equations
- A class of De Giorgi type and Hölder continuity
- Variational problems with two phases and their free boundaries
- Classical solutions to phase transition problems are smooth
- Regularity of free boundaries of two‐phase problems for fully nonlinear elliptic equations of second order I. Lipschitz free boundaries are C1,
- Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
- Regularity for Shape Optimizers: The Nondegenerate Case
- Regularity of higher order in two-phase free boundary problems
- Global Solutions to Nonlinear Two‐Phase Free Boundary Problems
- Lipschitz Regularity of Solutions to Two-phase Free Boundary Problems
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Two-phase problems for a class of fully nonlinear elliptic operators: Lipschitz free boundaries are C 1,γ
- Local bounds, Harnack inequality and H\"older continuity for divergence type elliptic equations with nonstardard growth
- Regularity results for a class of functionals with non-standard growth
