Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by \(p\)-Laplacian
From MaRDI portal
Publication:2127904
DOI10.1007/s00205-022-01763-7zbMath1487.35151arXiv2108.10049OpenAlexW4220787143MaRDI QIDQ2127904
Yoshikazu Giga, Shuntaro Tsubouchi
Publication date: 21 April 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.10049
Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) Quasilinear elliptic equations with (p)-Laplacian (35J92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (1)
Cites Work
- Bounded minimisers of double phase variational integrals
- Scale-invariant extinction time estimates for some singular diffusion equations
- Very singular diffusion equations: second and fourth order problems
- Characterization of subdifferentials of a singular convex functional in Sobolev spaces of order minus one
- The maximum principle
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Functional analysis, Sobolev spaces and partial differential equations
- Parabolic quasilinear equations minimizing linear growth functionals
- Elliptic partial differential equations of second order
- A duality based approach to the minimizing total variation flow in the space \(H^{-s}\)
- Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions
- Numerical computations of split Bregman method for fourth order total variation flow
- Local Lipschitz bounds for solutions to certain singular elliptic equations involving the one-Laplacian
- Regularity for double phase variational problems
- Surface Relaxation Below the Roughening Temperature: Some Recent Progress and Open Questions
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- Numerical Analysis of a Steepest-Descent PDE Model for Surface Relaxation below the Roughening Temperature
- Stability for evolving graphs by nonlocal weighted curvature
- Lectures on Elliptic Partial Differential Equations
- A Remark on Linear Elliptic Differential Equations of Second Order
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by \(p\)-Laplacian