Harmonic mappings with partially free boundary.
Alfred Baldes (1982)
Manuscripta mathematica
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Displaying similar documents to “A Maximum Principle for Harmonic Mappings Which Solve A Dirichlet Problem.”
Harmonic mappings with partially free boundary.
Existence Proofs for Harmonic Mappings with the Help of a Maximum Principle.
Jürgen Jost (1983)
Mathematische Zeitschrift
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Finite distortion functions and Douglas-Dirichlet functionals
Qingtian Shi (2019)
Czechoslovak Mathematical Journal
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In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, -Dirichlet functionals of harmonic mappings are also investigated.
Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres.
Jie Qing (1992)
Manuscripta mathematica
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Harmonic majorization of in subsets of , .
Eiderman, Vladimir, Essén, Matts (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Dirichlet's principle, distortion and related problems for harmonic mappings.
Mateljević, Miodrag (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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The Dirichlet problem with non-compact boundary.
Stephen J. Gardiner (1993)
Mathematische Zeitschrift
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Infinite dimension of solutions of the Dirichlet problem
Vladimir Ryazanov (2015)
Open Mathematics
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It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
On the continuity of harmonic mappings and the Boundary.
George Paulik (1988)
Manuscripta mathematica
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A Picard type theorem for quasiregular mappings of R into n-manifolds with many ends.
Ilkka Holopainen, Seppo Rickman (1992)
Revista Matemática Iberoamericana
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Dirichlet Problem for n-Harmonic Functions and Related Geometrical Properties.
G.B. Rizza (1955/56)
Mathematische Annalen
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The Dirichlet Energy of Mappings with values into the sphere.
Mariano Giaquinta, Giuseppe Modica (1989)
Manuscripta mathematica
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