6533b82efe1ef96bd129343d
RESEARCH PRODUCT
On the Porosity of Free Boundaries in Degenerate Variational Inequalities
Tero KilpeläinenHenrik ShahgholianLavi KarpArshak Petrosyansubject
porosityLebesgue measureApplied MathematicsDegenerate energy levelsMathematical analysisZero (complex analysis)Boundary (topology)nonhomogeneous p-Laplace equationfree boundaryobstacle problemHausdorff dimensionVariational inequalityObstacle problemFree boundary problemAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-06-01 | Journal of Differential Equations |