Hölder continuity of the inverse of \(p\)-Laplacian

DOI10.1006/jmaa.1997.5885zbMath0911.35042OpenAlexW2044557640MaRDI QIDQ1269099

Yuanji Cheng

Publication date: 19 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5885

zbMATH Keywords

positive solutionsLipschitz domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05)

Related Items (5)

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 ⋮ A priori estimates for the difference of solutions to quasi-linear elliptic equations ⋮ Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum ⋮ On a regularity property and a priori estimates for solutions of nonlinear parabolic variational inequalities ⋮ Remark on solvability of \(p\)-Laplacian equations in large dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for some elliptic problems with critical Sobolev exponents
• On multiple solutions for the nonhomogeneous \(p\)-Laplacian with a critical Sobolev exponent
• Change of variables for absolutely continuous functions
• Asymptotic behaviour of the eigenvalues of the φ—laplacian
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Almost Sure Convergence in Extreme Value Theory
• On some sharp bounds for the homogenizedp-poisson equation
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

This page was built for publication: Hölder continuity of the inverse of \(p\)-Laplacian