Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions

DOI10.1080/03605302.2020.1840586zbMath1471.35152arXiv1904.02143OpenAlexW3046401429MaRDI QIDQ4965955

Yannick Sire, Susanna Terracini, Stefano Vita

Publication date: 18 March 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02143

zbMATH Keywords

blow-upfractional LaplacianSchauder estimatesfractional divergence form elliptic operatorLiouville-type theoremsdegenerate and singular elliptic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Blow-up in context of PDEs (35B44) Singular elliptic equations (35J75) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations ⋮ Boundary regularity estimates in Hölder spaces with variable exponent ⋮ The thin obstacle problem for some variable coefficient degenerate elliptic operators ⋮ A quantitative stability inequality for fractional capacities ⋮ Degenerate linear parabolic equations in divergence form on the upper half space ⋮ On a weighted two-phase boundary obstacle problem ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ QUALITATIVE PROPERTIES FOR ELLIPTIC PROBLEMS WITH CKN OPERATORS ⋮ On the existence and Hölder regularity of solutions to some nonlinear Cauchy-Neumann problems ⋮ Higher-order evolution inequalities involving convection and Hardy-Leray potential terms in a bounded domain ⋮ Strong unique continuation from the boundary for the spectral fractional laplacian ⋮ Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ The nodal set of solutions to anomalous equations ⋮ Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary ⋮ Convergence of the fractional Yamabe flow for a class of initial data ⋮ Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem ⋮ The nodal set of solutions to some nonlocal sublinear problems

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