Blow-up solutions for ordinary differential equations associated to harmonic maps and their applications

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概要

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• In this paper, the blow-up of solutions of ordinary differential equations, which are deduced from the equation of equivariant harmonic maps, is studied. Its direct consequence is the non-existence or existence result of equivariant harmonic maps between warped product manifolds. As another application we prove the non-existence of a harmonic map from an Euclidean space to a Hadamard manifold with a certain nondegeneracy condition at infinity, provided sectional curvatures of the Hadamard manifold are bounded from above by a slowly decaying negative function of the distance from a fixed point.

• 社団法人 日本数学会の論文

著者

• Tachikawa Atsushi

  Department Of Mathematics Faculty Of Science And Technology

• NAGASAWA Takeyuki

  Mathematical Institute Tohoku University

• Nagasawa Takeyuki

  Mathematical Institute (kawauchi) Faculty Of Science Tohoku University

関連論文

• On continuity of minimizers for certain quadratic growth functionals
• NONEXISTENCE RESULTS OF HARMONIC MAPS BETWEEN HADAMARD MANIFOLDS(Variational Problems and Related Topics)
• Blow-up solutions for ordinary differential equations associated to harmonic maps and their applications
• Harmonic mappings from Rm into an Hadamard manifold
• The set of solutions for certain semilinear heat equations
• Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps

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