6533b833fe1ef96bd129c143

RESEARCH PRODUCT

On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

S BonafedeF Nicolosi

subject

Dirichlet problemPartial differential equationAlgebra and Number TheoryBounded setDifferential equationMathematical analysisDegenerate energy levelsgrowth conditionElliptic equationlcsh:QA299.6-433lcsh:AnalysisRenormalized solutionNonlinear systemSimultaneous equationsOrdinary differential equationAnalysisMathematics

description

We establish Holder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set , with data, on the subsets of where the behavior of weights and of the data is regular enough.

10.1155/2007/65825https://doaj.org/article/05c802977bee4cb2a43109f9174fe52f