A counterexample in elliptic regularity theory

DOI10.1007/BF01168711zbMath0468.35027OpenAlexW2313709193WikidataQ125056891 ScholiaQ125056891MaRDI QIDQ1156289

Michael Struwe

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/154765

zbMATH Keywords

regularity theoryone-sided conditionquasilinear diagonal elliptic systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15)

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, Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient, On two-dimensional elliptic systems with a one-sided condition, Regularity for a more general class of quasilinear equations, On the regularity of the minima of variational integrals, Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient, On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids, A new proof of a regularity theorem, Everywhere-regularity for some quasilinear systems with a lack of ellipticity, Counter-examples to boundary estimates for two-dimensional elliptic systems

Cites Work

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• On two-dimensional quasi-linear elliptic systems
• Liouville theorems for nonlinear elliptic equations and systems
• On two-dimensional elliptic systems with a one-sided condition
• Essential selfadjointness of singular elliptic operators