Hölder continuity of degenerate p-harmonic functions
Flavia Giannetti, Antonia Passarelli di Napoli · Annales Academiae Scientiarum Fennicae Mathematica · 2014
We prove a partial Hölder continuity result for finite energy solutions of degenerate elliptic equations.The function that measures the degeneracy of the problem is assumed to belong to a suitable Sobolev class.Moreover, we prove an analogous result for infinite energy solutions provided their gradients have a suitable degree of integrability.