A regularity theorem for harmonic mappings.
Atsushi Tachikawa (1987)
Journal für die reine und angewandte Mathematik
Robert Hardt, Fang-Hua Lin (1986)
Manuscripta mathematica
Feng Zhou, Qing Zhou (1999)
Annales de l'I.H.P. Analyse non linéaire
Abbas Bahri (2006)
Journal of the European Mathematical Society
We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
Pavel Krejčí (2001)
Applications of Mathematics
It is known that the vector stop operator with a convex closed characteristic of class is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping is Lipschitz continuous on the boundary of . We prove that in the regular case, this condition is also necessary.
Crişan, Gabriela Clara (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Dumitru Motreanu (1997)
Mathematica Slovaca
Niculescu, Constantin P., Rădulescu, Vicenţiu (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
S. Saha, P.C. Das, N.N. Kishore (1990/1991)
Numerische Mathematik
Fuglede, Bent (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
Selcen Y. Perktaş, Bilal E. Acet, Adara M. Blaga (2020)
Commentationes Mathematicae Universitatis Carolinae
In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .
Castro, Alfonso, Drábek, Pavel, Neuberger, John M. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Robert Magnus (1980)
Mathematica Scandinavica
Hisashi Naito (1988)
Compositio Mathematica
P.J. Fitzsimmons, Laszlo Csink (1990)
Mathematische Annalen
A.J. Tromba (1983)
Mathematische Annalen
Ivan Meguerdtchian (1992)
Mathematische Zeitschrift
Kučera, Petr (1998)
Proceedings of Equadiff 9
F. E. Burstall (1986)
Mathematische Annalen
Peter M. Gruber (1991)
Journal für die reine und angewandte Mathematik