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RESEARCH PRODUCT

On regularity up to the boundary of solutions to a system of degenerate nonlinear elliptic fourth-order equations

S. BonafedeFrancesco Nicolosi

subject

Computational MathematicsNumerical AnalysisNonlinear systemFourth orderOscillationApplied MathematicsMathematical analysisDegenerate energy levelsBoundary (topology)AnalysisMathematics

description

Under some hypotheses on weighted functions, using the interior regularity results established in (Kovalevsky, A. and Nicolosi, F., 2005, Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations. Nonlinear Analysis, 61, 281–307) and estimating the oscillation of solutions near the boundary of Ω, we establish results on regularity up to the boundary of a solutions of the system (1.1).

https://doi.org/10.1080/17476930701466580