On the properties of infinity-harmonic functions and an application to capacitary convex rings.
Bhattacharya, Tilak (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bhattacharya, Tilak (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bhattacharya, Tilak (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Véron, Laurent (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Civljak, A., Dedic, Lj. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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D. Armitage (1994)
Colloquium Mathematicae
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Paweł Strzelecki (1996)
Colloquium Mathematicae
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We prove that minimizers of the functional , ⊂ , n ≥ 3, which satisfy the Dirichlet boundary condition on for g: → with zero topological degree, converge in and for any α<1 - upon passing to a subsequence - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.
Mikayelyan, Hayk (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Thierry De Pauw (2007)
Journées Équations aux dérivées partielles
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Porwal, Saurabh, Dixit, Poonam, Kumar, Vinod (2011)
The Journal of Nonlinear Sciences and its Applications
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Bhattacharya, Tilak (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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