Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains.
Nagai, Toshitaka (2001)
Journal of Inequalities and Applications [electronic only]
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Nagai, Toshitaka (2001)
Journal of Inequalities and Applications [electronic only]
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Jan H. Chabrowski (1987)
Commentationes Mathematicae Universitatis Carolinae
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Oleinik, O. A.
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Jiří Kottas (1987)
Commentationes Mathematicae Universitatis Carolinae
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Giovanna Idone (2004)
Czechoslovak Mathematical Journal
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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .