Calculus of Variations and Geometric Measure Theory

F. Giannetti - A. Passarelli di Napoli

On Very Weak Solutions of Degenerate p-Harmonic Equations

created by passarell on 09 Dec 2005
modified on 23 May 2006


Accepted Paper

Inserted: 9 dec 2005
Last Updated: 23 may 2006

Journal: NoDEA
Year: 2005


We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonnegative function which measures the degree of degeneracy of ellipticity bounds is assumed to be exponentially integrable. We find that the scale of improved regularity is logarithmic.