A new partial regularity proof for solutions of nonlinear elliptic systems

DOI10.1007/BF02678012zbMath0901.35013MaRDI QIDQ1382643

Christoph Hamburger

Publication date: 26 November 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156357

zbMATH Keywords

sequence of blow-up functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods for elliptic systems (35J50)

Related Items

Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions, Regular and irregular solutions for a class of elliptic systems in the critical dimension, The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity, Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient, Old and new results in regularity theory for diagonal elliptic systems via blowup techniques, Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient, Optimal partial regularity of minimizers of quasiconvex variational integrals, Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient, Optimal partial regularity for sub-elliptic systems related to Hörmander's vector fields: the controllable growth case, Parabolic Systems with Polynomial Growth and Regularity, New a priori estimates for \(q\)-nonlinear elliptic systems with strong nonlinearities in the gradient, \(1< q< 2\), Hölder continuity for nonlinear sub-elliptic systems with sub-quadratic growth

Cites Work

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• On a method of K. Uhlenbeck for proving partial regularity for solutions of certain nonlinear elliptic systems
• Quasiconvexity and partial regularity in the calculus of variations
• Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung
• Almost-everywhere regularity results for solutions of nonlinear elliptic systems
• Partial regularity for minimizers of variational integrals with discontinuous integrands
• Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)