On the local Hölder continuity of the inverse of the $p$-Laplace operator

DOI10.1090/S0002-9939-07-08913-7zbMath1143.35097OpenAlexW2009824690MaRDI QIDQ5308123

An Le

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08913-7

zbMATH Keywords

Hölder continuityinterpolation inequalitiesinverse \(p\)-Laplace operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Inverse problems for PDEs (35R30) Nonlinear elliptic equations (35J60) Interpolation between normed linear spaces (46B70)

Related Items (4)

Local Lipschitz continuity of the inverse of the fractional \(p\)-Laplacian, Hölder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains ⋮ Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities ⋮ Note on nontrivial solutions for a class of \(p\)-Laplacian systems ⋮ A priori estimates for the difference of solutions to quasi-linear elliptic equations

Cites Work

• Regularity for a more general class of quasilinear equations
• Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations.
• Sharp forms of estimates for subsolutions and supersolutions of quasilinear elliptic equations involving measures
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations

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