Isolated Singularities of p -Harmonic Functions in the Plane

Juan J. Manfredi · SIAM Journal on Mathematical Analysis · 1991

A classification theorem for isolated singularities of p-harmonic functions is given and a precise asymptotic representation near the singularity is obtained. The approach is based on using the theory of quasiregular mappings to linearize the p-Laplacian by means of a hodographic transformation.

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