Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity
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Publication:2093415
DOI10.1007/s00526-022-02360-yOpenAlexW4308297321WikidataQ115385819 ScholiaQ115385819MaRDI QIDQ2093415
Publication date: 8 November 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.04743
Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Viscosity solutions to PDEs (35D40) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)
Related Items
Asymptotic mean value properties for the elliptic and parabolic double phase equations, \(C^{1,\alpha}\)-regularity for solutions of degenerate/singular fully nonlinear parabolic equations, Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation
Cites Work
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- Eigenvalues for double phase variational integrals
- Bounded minimisers of double phase variational integrals
- Global gradient estimates for non-uniformly elliptic equations
- Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian
- Existence's results for parabolic problems related to fully non linear operators degenerate or singular
- An evolution equation involving the normalized \(p\)-Laplacian
- On the Aleksandrov-Bakel'man-Pucci estimate for some elliptic and parabolic nonlinear operators
- Calderón-Zygmund estimates for generalized double phase problems
- Local regularity results for value functions of tug-of-war with noise and running payoff
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
- Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- 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
- Manifold constrained non-uniformly elliptic problems
- Gradient bounds for solutions to irregular parabolic equations with \((p, q)\)-growth
- Lipschitz bounds and nonautonomous integrals
- Local continuity and Harnack's inequality for double-phase parabolic equations
- Equivalence between distributional and viscosity solutions for the double-phase equation
- Generalized superharmonic functions with strongly nonlinear operator
- Gradient regularity for a singular parabolic equation in non-divergence form
- Local regularity for quasi-linear parabolic equations in non-divergence form
- Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications
- Regularity for double phase variational problems
- Game theoretical methods in PDEs
- Removable sets in non-uniformly elliptic problems
- Radial eigenfunctions for the game-theoretic \(p\)-Laplacian on a ball.
- On the Dirichlet boundary value problem for the normalized \(p\)-Laplacian evolution
- Hölder gradient estimates for parabolic homogeneous \(p\)-Laplacian equations
- \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem
- Hölder gradient estimates for a class of singular or degenerate parabolic equations
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- Tug-of-war games and PDEs
- An Asymptotic Mean Value Characterization for a Class of Nonlinear Parabolic Equations Related to Tug-of-War Games
- Tug-of-war and the infinity Laplacian
- Dynamic Programming Principle for tug-of-war games with noise
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Matrix Analysis
- User’s guide to viscosity solutions of second order partial differential equations
- Singular degenerate parabolic equations with applications
- Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian
- Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy
- Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
- Hölder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth
- Gradient estimates for multi-phase problems in Campanato spaces
- A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
- Gradient continuity estimates for the normalized p-Poisson equation
- Decay estimates in the supremum norm for the solutions to a nonlinear evolution equation
- Small perturbation solutions for parabolic equations
- Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations
- Harnack's Inequality forp-Harmonic Functions via Stochastic Games
- On Weak and Viscosity Solutions of Nonlocal Double Phase Equations
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
- Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent
