Partial regularity of solutions to model Venttsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient

DOI10.1007/s10958-015-2579-yzbMath1336.35150OpenAlexW1959280446MaRDI QIDQ905368

Arina A. Arkhipova Arkhipova

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2579-y

zbMATH Keywords

partial regularityquasilinear elliptic systemHölder continuitysingular setVenttsel boundary condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Higher-order elliptic systems (35J48)

Related Items (3)

Regularity of solutions of the model Venttsel' problem for quasilinear parabolic systems with nonsmooth in time principal matrices ⋮ Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient ⋮ Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: \(A(t)\)-caloric approximation method

Cites Work

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• Partial regularity of weak solutions to the model Venttsel problem for quasilinear elliptic systems of equations. Method of A-harmonic approximation
• A counter-example to the boundary regularity of solutions to elliptic quasilinear systems
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
• On the Nonstationary Two-Phase Venttsel Problem in the Transversal Case

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