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- W2095115172 abstract "This paper is concerned with the asymptotic behavior of the regularized minimizer u ε = ( u ε 1 , u ε 2 , … , u ε n + 1 ) of an energy functional E ε ( u , G ) = 1 n ∫ G | ∇ u | n d x + 1 2 ε n ∫ G u n + 1 2 d x when ε → 0 , where G ⊂ R n is a bounded domain. The author proves W 1 , n convergence of minimizers to the map u n = ( u n ′ , 0 ) , where u n ′ is an n -harmonic map. In addition, the author also gives the relation between the zeros of u ε 1 2 + u ε 2 2 + ⋯ + u ε n 2 and the singularities of u n ′ qualitatively." @default.
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- W2095115172 date "2007-10-01" @default.
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- W2095115172 title "Asymptotic behavior of the regularized minimizer of an energy functional in higher dimensions" @default.
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- W2095115172 doi "https://doi.org/10.1016/j.jmaa.2007.01.006" @default.
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