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RESEARCH PRODUCT

Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

V. CataldoS. BonafedeS. D'asero

subject

Statistics and ProbabilityClass (set theory)Article Subjectlcsh:MathematicsApplied MathematicsMathematical analysisDegenerate energy levelsBoundary (topology)Hölder conditionlcsh:QA1-939Modeling and SimulationTest functions for optimizationlcsh:QHigh orderlcsh:ScienceWeighted spaceMathematics

description

We study qualitative properties of minimizers for a class of integral functionals, defined in a weighted space. In particular we obtain Hölder regularity up to the boundary for the minimizers of an integral functional of high order by using an interior local regularity result and a modified Moser method with special test function.

yearjournalcountryeditionlanguage
2007-01-23Journal of Applied Mathematics and Stochastic Analysis
10.1155/2007/31819http://dx.doi.org/10.1155/2007/31819