Fractional De Giorgi classes and applications to nonlocal regularity theory

DOI10.1007/978-3-030-18921-1_7zbMath1425.35209arXiv1802.01560OpenAlexW2785571503MaRDI QIDQ2009102

Matteo Cozzi

Publication date: 27 November 2019

Full work available at URL: https://arxiv.org/abs/1802.01560

zbMATH Keywords

Harnack inequalityHölder continuitynonlocal functionalsnonlinear integral operatorsfractional De Giorgi classesnonlocal Caccioppoli inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) Regularity of solutions in optimal control (49N60) A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)

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Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation ⋮ Semilinear integro-differential equations. II: One-dimensional and saddle-shaped solutions to the Allen-Cahn equation ⋮ Local regularity for nonlocal equations with variable exponents ⋮ Hölder regularity for fractional \(p\)-Laplace equations ⋮ A symmetry result in \(\mathbb{R}^2\) for global minimizers of a general type of nonlocal energy

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