Liouville-type theorems of $p$-harmonic maps with free boundary values

Author:

Liu Jiancheng

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference9 articles.

1. F. Duzaar, A. Gastel, Minimizing $p$-harmonic maps at a free boundary, Boll. Unione Mat. Ital. VIII. Ser. B 1(2) (1998), 391--405.

2. M. Fuchs, Everywhere regularity theorems for mappings which minimize $p$-energy, Comm. Math. 28(4) (1987), 673--677.

3. M. Fuchs, $P$-harmonic obstacle problems. Part I: Partial regularity theory, Ann. Math. Pure. Appl. CLVI (1990), 127--158.

4. R. Gulliver, J. Jost, Harmonic maps which solve a free boundary problem, J. Reine Angew. Math. 38 (1987), 61--89.

5. R. Hardt, F. H. Lin, Mappings minimizing the $L^p$-norm of the gradient, Comm. Pure Appl. Math. 40 (1987), 555--588.

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