Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes
From MaRDI portal
Publication:5153004
DOI10.1007/978-3-030-73778-8_9zbMath1473.35347arXiv1901.10941OpenAlexW3135264167MaRDI QIDQ5153004
Eduardo V. Teixeira, José Miguel Urbano
Publication date: 28 September 2021
Published in: Harnack Inequalities and Nonlinear Operators (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.10941
Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)
Related Items
Geometric estimates for doubly nonlinear parabolic PDEs ⋮ Sharp regularity for singular obstacle problems ⋮ Existence and improved regularity for a nonlinear system with collapsing ellipticity ⋮ Improved regularity for the porous medium equation along zero level sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach
- Optimal regularity for one-dimensional porous medium flow
- Interior a priori estimates for solutions of fully nonlinear equations
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Degenerate parabolic equations
- Hölder estimates for quasilinear doubly degenerate parabolic equations
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations
- Harnack estimates for quasi-linear degenerate parabolic differential equations
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Continuity of weak solutions to certain singular parabolic equations
- Hölder estimates of solutions of singular parabolic equations with measurable coefficients
- The regularity of free boundaries in higher dimensions
- Regularity of \(p\)-harmonic functions on the plane
- Sharp regularity for general Poisson equations with borderline sources
- Sharp regularity for the degenerate doubly nonlinear parabolic equation
- A proof of the \(C^{p^\prime}\)-regularity conjecture in the plane
- Sharp regularity for the inhomogeneous porous medium equation
- Regularity for quasilinear equations on degenerate singular sets
- Universal moduli of continuity for solutions to fully nonlinear elliptic equations
- A geometric tangential approach to sharp regularity for degenerate evolution equations
- Hessian Continuity at Degenerate Points in Nonvariational Elliptic Problems
- Harnack's Inequality for Degenerate and Singular Parabolic Equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Hölder estimates for nonlinear degenerate parabolic sytems.
- On the Time Derivative in a Quasilinear Equation
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Compactness methods in free boundary problems
- A selfsimilar solution to the focusing problem for the porous medium equation
- Variational problems with two phases and their free boundaries
- Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions