The regularity of solutions to some variational problems, including the p-Laplace equation for 2 ≤ p< 3

DOI10.1051/cocv/2016064zbMath1381.49015OpenAlexW2522920281MaRDI QIDQ4594372

Arrigo Cellina

Publication date: 23 November 2017

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2016064

zbMATH Keywords

higher differentiability\(p\)-harmonic functionsregularity of solutions to variational problems

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (12)

A pointwise differential inequality and second-order regularity for nonlinear elliptic systems ⋮ The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(3\leq p < 4\) ⋮ Some problems in the calculus of variations ⋮ Interior regularity results for inhomogeneous anisotropic quasilinear equations ⋮ Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality ⋮ A second-order Sobolev regularity for \(p(x)\)-Laplace equations ⋮ A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form ⋮ Fractional differentiability for solutions of the inhomogeneous 𝑝-Laplace system ⋮ On the higher differentiability of solutions to a class of variational problems of fast growth ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Second-order two-sided estimates in nonlinear elliptic problems ⋮ Optimal second-order regularity for the \(p\)-Laplace system

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