0000000000863286

AUTHOR

Francesco Nicolosi

showing 3 related works from this author

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

2008

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).

Computational MathematicsNumerical AnalysisNonlinear systemFourth orderOscillationApplied MathematicsMathematical analysisDegenerate energy levelsBoundary (topology)AnalysisMathematicsComplex Variables and Elliptic Equations
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The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations withL1-data

2008

We prove local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L(1)-data.

Numerical AnalysisClass (set theory)Higher order equationsHigher-order equationApplied MathematicsMathematical analysisDegenerate energy levelsWeighted functionComputational MathematicsNonlinear systemSettore MAT/05 - Analisi MatematicaLocal boundednessBoundedness of solutionsApplied mathematicsAnalysisMathematicsComplex Variables and Elliptic Equations
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Control of essential supremum of solutions of quasilinear degenerate parabolic equations

2001

Sufficient conditions are obtained so that a weak subsolution of a class of quasilinear degenerate parabolic equations, bounded from above on theparabolic boundary of the cylinder Q, turns out to be bounded from above in Q.

Maximum principleApplied MathematicsBounded functionDegenerate energy levelsMathematical analysisMathematics::Analysis of PDEsCylinderDegenerate equationBoundary (topology)Essential supremum and essential infimumParabolic partial differential equationAnalysisMathematicsApplicable Analysis
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