Hölder-continuity of the solutions for operators which are a sum of squares of vector fields plus a potential

Citti, G.; Di Fazio, G.

doi:10.1090/S0002-9939-1994-1207534-8

Hölder-continuity of the solutions for operators which are a sum of squares of vector fields plus a potential
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by G. Citti and G. Di Fazio

Proc. Amer. Math. Soc. 122 (1994), 741-750

DOI: https://doi.org/10.1090/S0002-9939-1994-1207534-8

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Abstract:

In this paper we study the local Hölder-regularity of weak solutions to $\mathcal {L}u + Vu = 0$ where $\mathcal {L}$ is a Hörmander hypoelliptic operator and the potential V belongs to a new class of functions which is the natural extension of Morrey spaces to this situation. We improve a recent result of Citti, Garofalo, and Lanconelli.

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