Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Almansi decomposition and expansion of a polyharmonic function near a crack-tip

created by leaci on 07 Nov 2023


Accepted Paper

Inserted: 7 nov 2023
Last Updated: 7 nov 2023

Journal: Journal of Convex Analysis
Pages: 1-33
Year: 2023


We study polyharmonic functions in 2-dimensional open sets with a flat crack: for these functions we show a decomposition of Almansi-type and make explicit the coefficients of a strongly converging expansion near the crack-tip.