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.
机构:
Lavrentyev Institute of Hydrodynamics Siberian Branch of RAS, av. Ac. Lavrentyev 15, Novosibirsk
Novosibirsk State University, Pirogov av. 2, NovosibirskLavrentyev Institute of Hydrodynamics Siberian Branch of RAS, av. Ac. Lavrentyev 15, Novosibirsk
Antontsev S.N.
Kuznetsov I.V.
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机构:
CMAF-CIO, University of Lisbon, av. Prof. Gama Pinto 2, LisbonLavrentyev Institute of Hydrodynamics Siberian Branch of RAS, av. Ac. Lavrentyev 15, Novosibirsk
机构:
Amer Univ Ras Al Khaimah, Dept Math & Nat Sci, Ras Al Khaymah, U Arab EmiratesAmer Univ Ras Al Khaimah, Dept Math & Nat Sci, Ras Al Khaymah, U Arab Emirates