• Title/Summary/Keyword: polyharmonic operator

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ON REGULARITY OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE POLYHARMONIC OPERATOR

  • Kozlov, Vladimir
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.871-884
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    • 2000

  • Polyharmonic operator with Dirichlet boundary condition is considered in a n-dimensional cone. The regularity properties of weak solutions are studied. In particular, it is proved the Holder contionuity of solutions near the vertex of the cone for dimensions n=2m+3,2m+4, where 2m is the order of the polyharmonic operator.

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