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On certainp-harmonic functions in the plane
Authors:Gunnar Aronsson
Institution:(1) Department of Mathematics, University of Linköping, S-58183 Linköping, Sweden
Abstract:A representation theorem is given for certainp-harmonic functions (1<p<infin) in the plane, near a corner of the domain of definition. The proof uses ldquostream functionsrdquo and the hodograph transformation. The stream function of ap-harmonic function ispprime-harmonic, where 1/p+1/pprime=1. Solutions of the formr k f(ø) (polar coord.) are crucial for the representation.
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