On continuity of minimizers for certain quadratic growth functionals

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概要

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• In this paper we treat the regularity problem for minimizers u(x): Ω ⊂ \R^m → \R^n of quadratic growth functionals ∈t_Ω A(x, u, Du)dx. About the dependence on the variable x we assume only that A(•, u, p) is in the class VMO as a function of x. Namely, we do not assume the continuity of A(x, u, p) with respect to x. We will prove a partial regularity result for the case m ≤ 4.

• 社団法人 日本数学会の論文
• 2005-07-01

著者

• Ragusa Maria

  Dipartimento Di Matematica Universita Di Catania

• TACHIKAWA Atsushi

  Department of Mathematics Faculty of Science and Technology Tokyo University of Science

• Tachikawa Atsushi

  Department Of Mathematics Faculty Of Science And Technology

• TACHIKAWA Atsushi

  Department of Mathematics Faculty of Liberal Arts Shizuoka University

関連論文

• INTERIOR ESTIMATES IN CAMPANATO SPACES RELATED TO QUADRATIC FUNCTIONALS (Variational Problems and Related Topics)
• 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

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