We prove local and global regularity for the positive solutions of a quasilinear variational degenerate equation, assuming minimal hypothesis on the coefficients of the lower order terms. As an application we obtain Hölder continuity for the gradient of solutions to nonvariational quasilinear equations.
Harnack inequality and smoothness for quasilinear degenerate elliptic equations
DI FAZIO, Giuseppe;FANCIULLO, Maria;ZAMBONI, Pietro
2008-01-01
Abstract
We prove local and global regularity for the positive solutions of a quasilinear variational degenerate equation, assuming minimal hypothesis on the coefficients of the lower order terms. As an application we obtain Hölder continuity for the gradient of solutions to nonvariational quasilinear equations.File in questo prodotto:
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