Compactness for maps minimizing the n-energy under a free boundary constraint

Thomas Müller

doi:10.1007/PL00005864

Compactness for maps minimizing the n-energy under a free boundary constraint

Thomas Müller

Biology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let X denote a compact subset of ℝ^N and B the unit ball in ℝⁿ. In this paper we investigate analytical and topological compactness properties of minimizing sequences (u_k)_k∈ℕ for the n-energy in the class of maps M_α := {u|_∂B ⊂ X, the homotopy class [uk|∂B] = α }.

Original language	English
Pages (from-to)	513-540
Number of pages	28
Journal	Manuscripta Mathematica
Volume	103
Issue number	4
DOIs	https://doi.org/10.1007/PL00005864
State	Published - Dec 2000

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10.1007/PL00005864

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title = "Compactness for maps minimizing the n-energy under a free boundary constraint",

abstract = "Let X denote a compact subset of ℝN and B the unit ball in ℝn. In this paper we investigate analytical and topological compactness properties of minimizing sequences (uk)k∈ℕ for the n-energy in the class of maps Mα := \{u|∂B ⊂ X, the homotopy class [uk|∂B] = α \}.",

author = "Thomas M{\"u}ller",

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AU - Müller, Thomas

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N2 - Let X denote a compact subset of ℝN and B the unit ball in ℝn. In this paper we investigate analytical and topological compactness properties of minimizing sequences (uk)k∈ℕ for the n-energy in the class of maps Mα := {u|∂B ⊂ X, the homotopy class [uk|∂B] = α }.

AB - Let X denote a compact subset of ℝN and B the unit ball in ℝn. In this paper we investigate analytical and topological compactness properties of minimizing sequences (uk)k∈ℕ for the n-energy in the class of maps Mα := {u|∂B ⊂ X, the homotopy class [uk|∂B] = α }.

UR - https://www.scopus.com/pages/publications/0034557566

U2 - 10.1007/PL00005864

DO - 10.1007/PL00005864

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VL - 103

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JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 4

ER -

Compactness for maps minimizing the n-energy under a free boundary constraint

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