Remarks on Local Boundedness and Local H'older Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations

摘要

Locally bounded, local weak solutions to a special class of quasilinear,anisotropic, $p$-Laplacian type elliptic equations, are shown to be locallyH\"older continuous. Homogeneous local upper bounds are established for localweak solutions to a general class of quasilinear anisotropic equations.