On the continuity of degeneraten-harmonic functions

Flavia Giannetti, Antonia Passarelli di Napoli
2011 E S A I M: Control, Optimisation and Calculus of Variations  
We study the regularity of finite energy solutions to degenerate n-harmonic equations. The function K(x), which measures the degeneracy, is assumed to be subexponentially integrable, i.e. it verifies the condition exp(P (K)) ∈ L 1 loc . The function P (t) is increasing on [0, ∞[ and satisfies the divergence condition Mathematics Subject Classification. 35B65, 31B05.
doi:10.1051/cocv/2011164 fatcat:atmvamjamfdklpb2lxeiao4rui