Remarks on Local Boundedness and Local Holder Continuity of Local Weak Solutions to Anisotropic p-Laplacian Type Equations

Abstract

Locally bounded, local weak solutions to a special class of quasilinear, ani-sotropic, p-Laplacian type elliptic equations, are shown to be locally Holder continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.