Abstract
It is shown that solutions to the Dirichlet problem for quasilinear elliptic systems in a domain ofR n n⩾3 with smooth boundary datum can be singular at the boundary.
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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)
GIAQUINTA,M; GIUSTI, E. - Nonlinear elliptic systems with quadratic growth, to appear in Manuscripta Math.
GIUSTI,E.- Precisazione delle funzioni Hl,p e singolaritá delle soluzioni deboli di sistemi ellittici non lineari, Boll.UMI2 (1969)
GIUSTI,E.; MIRAKTDA, M. - Sulla regolaritá delle soluzioni deboli di una classe di sistemi ellittici quasi lineari, Arch. Rat.Mech. and Anal.31 (1968)
MORREY,C.B.Jr. - Partial regularity results for non linear elliptic systems, Journ. Math. and Mech.17 (1968)
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Giaquinta, M. A counter-example to the boundary regularity of solutions to elliptic quasilinear systems. Manuscripta Math 24, 217–220 (1978). https://doi.org/10.1007/BF01310055
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DOI: https://doi.org/10.1007/BF01310055