Locally bounded, local weak solutions to a special class of quasilinear, ani-sotropic, p-Laplacian type elliptic equations, are shown to be locally Hoelder continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.
REMARKS ON LOCAL BOUNDEDNESS AND LOCAL HOELDER CONTINUITY OF LOCAL WEAK SOLUTIONS TO ANISOTROPIC p-LAPLACIAN TYPE EQUATIONS / Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - STAMPA. - 2:(2016), pp. 157-169. [10.1007/BF03377399]
REMARKS ON LOCAL BOUNDEDNESS AND LOCAL HOELDER CONTINUITY OF LOCAL WEAK SOLUTIONS TO ANISOTROPIC p-LAPLACIAN TYPE EQUATIONS
VESPRI, VINCENZO
2016
Abstract
Locally bounded, local weak solutions to a special class of quasilinear, ani-sotropic, p-Laplacian type elliptic equations, are shown to be locally Hoelder continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.
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