Regularity results for mixed local and nonlocal double phase functionals
From MaRDI portal
Publication:6667444
DOI10.1016/j.jde.2024.10.028MaRDI QIDQ6667444
Ho-Sik Lee, Kyeong Song, Sun-Sig Byun
Publication date: 20 January 2025
Published in: Journal of Differential Equations (Search for Journal in Brave)
Hölder continuitylocal boundednessHarnack's inequalitydouble phasemixed local and nonlocal functionals
Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Integro-differential operators (47G20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local behavior of fractional \(p\)-minimizers
- Nonlocal Harnack inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Local boundedness of minimizers with limit growth conditions
- Bounded minimisers of double phase variational integrals
- Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions
- A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps
- Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part
- On Lavrentiev's phenomenon
- Nonlinear potentials of the Cauchy-Dirichlet problem for the integrodifferential Bellman equation
- Hölder regularity for nonlocal double phase equations
- Regularity for general functionals with double phase
- Sharp Green function estimates for \(\Delta + \delta ^{\alpha /2}\) in \(C^{1,1}\) open sets and their applications
- New examples on Lavrentiev gap using fractals
- Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
- Double phase image restoration
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Self-improving inequalities for bounded weak solutions to nonlocal double phase equations
- Regularity results for solutions of mixed local and nonlocal elliptic equations
- Mixed local and nonlocal equations with measure data
- Regularity for nonlocal problems with non-standard growth
- Local Hölder regularity for nonlocal equations with variable powers
- Hölder regularity for weak solutions to nonlocal double phase problems
- Gradient estimates for Orlicz double phase problems with variable exponents
- Interior and up to the boundary regularity for the fractional \(g\)-Laplacian: The convex case
- Regularity for double phase variational problems
- Function spaces and extension results for nonlocal Dirichlet problems
- Nonlocal self-improving properties
- Nonlocal equations with measure data
- Harnack inequalities for double phase functionals
- On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals
- Regularity theory for nonlocal equations with VMO coefficients
- Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
- Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$
- Regularity theory for parabolic nonlinear integral operators
- Non-local Dirichlet forms and symmetric jump processes
- Regularity theory for fully nonlinear integro-differential equations
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
- A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
- Semilinear elliptic equations involving mixed local and nonlocal operators
- An Extension Problem Related to the Fractional Laplacian
- On Weak and Viscosity Solutions of Nonlocal Double Phase Equations
- Harnack inequality for nonlocal problems with non-standard growth
- Local Hölder continuity for fractional nonlocal equations with general growth
- Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth
- Local regularity for nonlocal equations with variable exponents
- (Non)local logistic equations with Neumann conditions
- On the regularity theory for mixed local and nonlocal quasilinear parabolic equations
- Gradient regularity in mixed local and nonlocal problems
This page was built for publication: Regularity results for mixed local and nonlocal double phase functionals