Hölder regularity for nonlocal double phase equations
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Publication:1737549
DOI10.1016/j.jde.2019.01.017zbMath1412.35041arXiv1901.05864OpenAlexW2963311214MaRDI QIDQ1737549
Cristiana De Filippis, Giampiero Palatucci
Publication date: 23 April 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.05864
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Cites Work
- Unnamed Item
- Unnamed Item
- Local behavior of fractional \(p\)-minimizers
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Nonlinear commutators for the fractional \(p\)-Laplacian and applications
- Local and global minimizers for a variational energy involving a fractional norm
- Nonlocal Harnack inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Bounded minimisers of double phase variational integrals
- Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type
- Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains
- Regularity for elliptic equations with general growth conditions
- Nonlocal curvature flows
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- Partial regularity for general systems of double phase type with continuous coefficients
- The Dirichlet problem for the \(p\)-fractional Laplace equation
- Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
- Nonlinear Calderón-Zygmund theory in the limiting case
- Regularity for general functionals with double phase
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Regularity for double phase variational problems
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- Nonlocal self-improving properties
- Harnack inequalities for double phase functionals
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- The obstacle problem for nonlinear integro-differential operators
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Integro-Differential equations with nonlinear directional dependence
- Nonlocal Tug-of-War and the Infinity Fractional Laplacian
- Regularity theory for fully nonlinear integro-differential equations
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- The maximum principle with lack of monotonicity
- An Extension Problem Related to the Fractional Laplacian
- Holder estimates for solutions of integro differential equations like the fractional laplace
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