Author: Lavi Karp

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AUTHOR

Lavi Karp

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On the Porosity of Free Boundaries in Degenerate Variational Inequalities

2000

Abstract In this note we consider a certain degenerate variational problem with constraint identically zero. The exact growth of the solution near the free boundary is established. A consequence of this is that the free boundary is porous and therefore its Hausdorff dimension is less than N and hence it is of Lebesgue measure zero.

porosityLebesgue measureApplied MathematicsDegenerate energy levelsMathematical analysisZero (complex analysis)Boundary (topology)nonhomogeneous p-Laplace equationfree boundaryobstacle problemHausdorff dimensionVariational inequalityObstacle problemFree boundary problemAnalysisMathematicsJournal of Differential Equations

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