Regularity on the interior for some class of nonlinear second-order elliptic systems

DOI10.1016/j.na.2016.04.007zbMath1342.35096OpenAlexW2370244233MaRDI QIDQ298315

Eugen Viszus, Josef Daněček

Publication date: 20 June 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.04.007

zbMATH Keywords

regularityweak solutionsnonlinear elliptic equationsCampanato spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items (1)

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Cites Work

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• Structural conditions guaranteeing \(C^{1,\gamma}\)-regularity of weak solutions to nonlinear second-order elliptic systems
• The singular set of Lipschitzian minima of multiple integrals
• Partial continuity for elliptic problems
• Regularity in oscillatory nonlinear elliptic systems
• Harmonic type approximation lemmas
• Best constant in Sobolev inequality
• The singular set of solutions to non-differentiable elliptic systems
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Regularity problem for quasilinear elliptic and parabolic systems
• Change of variables for absolutely continuous functions
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Non-Lipschitz minimizers of smooth uniformly convex functionals

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