A note on global regularity for the weak solutions of fractional \(p\)-Laplacian equations

DOI10.4171/RLM/719zbMath1336.35360arXiv1504.01006MaRDI QIDQ269579

Marco Squassina, Antonio Iannizzotto, Sun-ra J. N. Mosconi

Publication date: 19 April 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01006

zbMATH Keywords

Hölder regularityfractional Sobolev spacesboundary regularityfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Comparison principles in context of PDEs (35B51)

Related Items (14)

Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator ⋮ Optimal decay of extremals for the fractional Sobolev inequality ⋮ Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case ⋮ The positive solutions to a quasi-linear problem of fractional \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition ⋮ Optimal elliptic regularity: a comparison between local and nonlocal equations ⋮ Fine boundary regularity for the degenerate fractional \(p\)-Laplacian ⋮ Boundary regularity estimates for the nonlocal normalized \(p\)-Laplacian in different kind of domains ⋮ Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term ⋮ Global Hölder regularity for the fractional \(p\)-Laplacian ⋮ Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type ⋮ Sobolev versus Hölder minimizers for the degenerate fractional \(p\)-Laplacian ⋮ A limiting obstacle type problem for the inhomogeneous \(p\)-fractional Laplacian ⋮ A fractional \(p\)-Laplacian problem with multiple critical Hardy-Sobolev nonlinearities ⋮ Radial symmetry for positive solutions of fractional \(p\)-Laplacian equations via constrained minimization method

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