Advances in Differential Equations

Junction of one-dimensional minimization problems involving $S^2$ valued maps

Antonio Gaudiello and Rejeb Hadiji

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This paper is composed of two parts. In the first part, via a reduction dimension method, we derive a one-dimensional minimization problem involving $S^2$-valued maps for a thin T-shaped multidomain. In the second one, we analyze this limit model.

Article information

Adv. Differential Equations, Volume 13, Number 9-10 (2008), 935-958.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35A15: Variational methods
Secondary: 49J45: Methods involving semicontinuity and convergence; relaxation 74K05: Strings 74K30: Junctions 78A25: Electromagnetic theory, general


Gaudiello, Antonio; Hadiji, Rejeb. Junction of one-dimensional minimization problems involving $S^2$ valued maps. Adv. Differential Equations 13 (2008), no. 9-10, 935--958.

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