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manuscripta mathematica

, Volume 24, Issue 2, pp 217–220 | Cite as

A counter-example to the boundary regularity of solutions to elliptic quasilinear systems

  • Mariano Giaquinta
Article

Abstract

It is shown that solutions to the Dirichlet problem for quasilinear elliptic systems in a domain ofRn n⩾3 with smooth boundary datum can be singular at the boundary.

Keywords

Number Theory Dirichlet Problem Algebraic Geometry Topological Group Smooth Boundary 
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References

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    COLOMBINI,F. -Un teorema di regolaritá alla frontiera per soluzioni di sistemi ellittici quasi lineari, Ann. S.N.S. Pisa25 (1971)Google Scholar
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    GIAQUINTA,M; GIUSTI, E. - Nonlinear elliptic systems with quadratic growth, to appear in Manuscripta Math.Google Scholar
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    GIUSTI,E.- Precisazione delle funzioni Hl,p e singolaritá delle soluzioni deboli di sistemi ellittici non lineari, Boll.UMI2 (1969)Google Scholar
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    GIUSTI,E.; MIRAKTDA, M. - Sulla regolaritá delle soluzioni deboli di una classe di sistemi ellittici quasi lineari, Arch. Rat.Mech. and Anal.31 (1968)Google Scholar
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    MORREY,C.B.Jr. - Partial regularity results for non linear elliptic systems, Journ. Math. and Mech.17 (1968)Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Mariano Giaquinta
    • 1
  1. 1.Istituto MatematicoUniversitá di FerraraFerraraItaly

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