Abstract
This paper deals with different characterizations of sets of nonlinear parabolic capacity zero, with respect to the parabolic p-Laplace equation. Specifically we prove that certain interior polar sets can be characterized by sets of zero nonlinear parabolic capacity. Furthermore we prove that zero capacity sets are removable for bounded supersolutions and that sets of zero capacity have a relation to a certain parabolic Hausdorff measure.
Original language | English |
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Pages (from-to) | 827–848 |
Number of pages | 22 |
Journal | Journal of Evolution Equations |
Volume | 17 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2017 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Characterization
- Degenerate parabolic equations
- Interior polar sets
- Nonlinear potential theory
- P-Laplace
- P-parabolic equation
- Parabolic capacity
- Parabolic Hausdorff measure
- Removability