Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications
From MaRDI portal
Publication:2204079
DOI10.1007/s00526-020-01820-7zbMath1448.35058arXiv2005.05963OpenAlexW3084616869WikidataQ115387112 ScholiaQ115387112MaRDI QIDQ2204079
Gleydson C. Ricarte, João Vítor da Silva
Publication date: 2 October 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05963
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35)
Related Items
Fully nonlinear free transmission problems with nonhomogeneous degeneracies, Fully nonlinear singularly perturbed models with non-homogeneous degeneracy, Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy, Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations, \(C^{1,\alpha}\)-regularity for solutions of degenerate/singular fully nonlinear parabolic equations, Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy, Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent, Unnamed Item, Recent developments in problems with nonstandard growth and nonuniform ellipticity, Equivalence between distributional and viscosity solutions for the double-phase equation, Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity for the fully nonlinear dead-core problem
- Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach
- Regularity for radial solutions of degenerate fully nonlinear equations
- Bounded minimisers of double phase variational integrals
- Singularly perturbed equations of degenerate type
- Interior a priori estimates for solutions of fully nonlinear equations
- Optimal regularity at the free boundary for the infinity obstacle problem
- Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
- Porosity and \(\sigma\)-porosity
- On Lavrentiev's phenomenon
- Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations.
- Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
- Existence and multiplicity results for double phase problem
- Sharp regularity estimates for second order fully nonlinear parabolic equations
- Regularity for degenerate evolution equations with strong absorption
- Schauder type estimates for ``flat viscosity solutions to non-convex fully nonlinear parabolic equations and applications
- Regularity for general functionals with double phase
- Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form
- \(C^{1,\alpha}\) regularity of solutions of some degenerate fully non-linear elliptic equations
- On the regularity of minima of non-autonomous functionals
- Manifold constrained non-uniformly elliptic problems
- Sharp regularity for degenerate obstacle type problems: a geometric approach
- A proof of the \(C^{p^\prime}\)-regularity conjecture in the plane
- Regularity results for generalized double phase functionals
- Regularity for double phase variational problems
- Fully nonlinear parabolic dead core problems
- Geometric \(C^{1 + \alpha}\) regularity estimates for nonlinear evolution models
- A limiting free boundary problem with gradient constraint and tug-of-war games
- \({\mathcal{C}}^{1, \gamma }\) regularity for singular or degenerate fully nonlinear equations and applications
- Optimal regularity for the obstacle problem for the \(p\)-Laplacian
- Geometric gradient estimates for solutions to degenerate elliptic equations
- Comparison principle and Liouville type results for singular fully nonlinear operators
- \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem
- Regularity of the \(p\)-Poisson equation in the plane
- Regularity for multi-phase variational problems
- Sharp regularity estimates for quasilinear evolution equations
- Regularity for quasilinear equations on degenerate singular sets
- Inhomogeneous infinity Laplace equation
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- Hölder Regularity of the Gradient for Solutions of Fully Nonlinear Equations with Sub Linear First Order Term
- On the regularity of solutions of the inhomogeneous infinity Laplace equation
- 𝒞1,βregularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
- Hessian Continuity at Degenerate Points in Nonvariational Elliptic Problems
- Regularity properties for p−dead core problems and their asymptotic limit as p→∞
- A PDE Perspective of the Normalized Infinity Laplacian
- Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
- Hölder gradient estimates for fully nonlinear elliptic equations
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions
- A tour of the theory of absolutely minimizing functions
- An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates
- Regularity estimates for fully non linear elliptic equations which are asymptotically convex
