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