Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side
DOI10.1016/j.na.2021.112444zbMath1472.35464arXiv2106.00439OpenAlexW3172700371MaRDI QIDQ1979250
Fausto Ferrari, Claudia Lederman
Publication date: 2 September 2021
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/2106.00439
variable exponent spacesregularity of the free boundarynon-zero right hand sidesingular/degenerate operator
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Viscosity solutions to PDEs (35D40) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (5)
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
- Singularly perturbed equations of degenerate type
- Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- Free boundary regularity for a problem with right hand side
- Fully nonlinear singularly perturbed equations and asymptotic free boundaries
- Solvability of the three-dimensional thermistor problem
- 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
- A minimum problem with free boundary in Orlicz spaces
- 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 \(C^{1,\alpha}\)
- Free boundary regularity for a degenerate problem with right hand side
- 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 of Lipschitz free boundaries in two-phase problems for the \(p\)-Laplace operator
- Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
- An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
- Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
- Regularity and geometric estimates for minima of discontinuous functionals
- 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
- Regularity of flat free boundaries in two-phase problems for the \(p\)-Laplace operator
- 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
- Inhomogeneous minimization problems for the \(p(x)\)-Laplacian
- Regularity of the free boundary in two-phase problems for linear elliptic operators
- Regularity of Lipschitz free boundaries for a \(p(x)\)-Laplacian problem with right hand side
- 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
- REGULARITY OF FREE BOUNDARIES OF TWO-PHASE PROBLEMS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER. II. FLAT FREE BOUNDARIES ARE LIPSCHITZ
- 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
- 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 of higher order in two-phase free boundary problems
- Second order regularity for the p (x )-Laplace operator
- Partial Differential Equations with Variable Exponents
- Small Perturbation Solutions for Elliptic Equations
- 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
- Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
- 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
This page was built for publication: Regularity of flat free boundaries for a \(p(x)\)-Laplacian problem with right hand side