The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(3\leq p < 4\)

DOI10.3934/DCDS.2018177zbMath1397.49053OpenAlexW2805264442MaRDI QIDQ1661155

Arrigo Cellina

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018177

zbMATH Keywords

p-Laplacianregularity of solutionssecond order derivatives

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60) Weak solutions to PDEs (35D30) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (2)

A pointwise differential inequality and second-order regularity for nonlinear elliptic systems ⋮ Optimal second-order regularity for the \(p\)-Laplace system

Cites Work

• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• Second-order two-sided estimates in nonlinear elliptic problems
• Some remarks on the regularity of weak solutions of degenerate elliptic systems
• Nonlinear Calderón-Zygmund theory in the limiting case
• Linear and quasilinear elliptic equations
• On the fatou theorem for p-harmonic function
• Weakly Differentiable Functions
• The regularity of solutions to some variational problems, including the p-Laplace equation for 2 ≤ p< 3

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