We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.
BONAFEDE S, NICOLOSI F (2007). On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data. BOUNDARY VALUE PROBLEMS, 2007, 1-15 [10.1155/2007/65825].
On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data
BONAFEDE, Salvatore;NICOLOSI, Filippo
2007-01-01
Abstract
We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.
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