A Caccioppoli estimate and fine continuity for superminimizers on metric spaces.
Korte, Riikka (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Korte, Riikka (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bhattacharya, Tilak (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tilak Bhattacharya (2005)
Revista Matemática Complutense
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
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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Bhattacharya, Tilak (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ono, Takayori (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Thierry De Pauw (2007)
Journées Équations aux dérivées partielles
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Hans Triebel (2005)
Revista Matemática Complutense
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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.