Hölder regularity for fractional \(p\)-Laplace equations

DOI10.1007/s12044-023-00734-6zbMath1518.35174arXiv2203.13082OpenAlexW4390181898MaRDI QIDQ6113100

Vivek Tewary, Karthik Adimurthi, Harsh Prasad

Publication date: 10 July 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13082

zbMATH Keywords

weak solutionsHölder regularitynonlocal operatorsDe Giorgi isoperimetric inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Hölder regularity for parabolic fractional \(p\)-Laplacian ⋮ On the weak Harnack estimate for nonlocal equations ⋮ Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Local behavior of fractional \(p\)-minimizers
• Hitchhiker's guide to the fractional Sobolev spaces
• Global Hölder regularity for the fractional \(p\)-Laplacian
• Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
• On the regularity of scalar \(p\)-harmonic functions in \(n\) dimensions with \(2 \leq p < n\)
• Degenerate parabolic equations
• Remarks on the Hölder continuity of solutions to elliptic equations in divergence form
• A priori estimates for integro-differential operators with measurable kernels
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Hölder regularity for nonlocal double phase equations
• Harnack's inequality for parabolic De Giorgi classes in metric spaces
• Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
• Fractional De Giorgi classes and applications to nonlocal regularity theory
• Regularity for nonlocal problems with non-standard growth
• A class of integral equations and approximation of \(p\)-Laplace equations
• Regularity theory for parabolic nonlinear integral operators
• Harnack inequalities for non-local operators of variable order
• Holder estimates for solutions of integro differential equations like the fractional laplace
• Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order

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