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- W2951002106 abstract "In this paper we study existence and spectral properties for weak solutions of Neumann and Dirichlet problems associated to second order linear degenerate elliptic partial differential operators $X$, with rough coefficients of the form $$X=-text{div}(Pnabla )+{bf HR}+{bf S^prime G} +F$$ in a geometric homogeneous space setting where the $ntimes n$ matrix function $P=P(x)$ is allowed to degenerate. We give a maximum principle for weak solutions of $Xuleq 0$ and follow this with a result describing a relationship between compact projection of the degenerate Sobolev space $QH^{1,p}$ into $L^q$ and a Poincar'e inequality with gain adapted to $Q$." @default.
- W2951002106 created "2019-06-27" @default.
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- W2951002106 date "2014-01-16" @default.
- W2951002106 modified "2023-09-27" @default.
- W2951002106 title "Existence and Spectral Theory for Weak Solutions of Neumann and Dirichlet Problems for Linear Degenerate Elliptic Operators with Rough Coefficients" @default.
- W2951002106 hasPublicationYear "2014" @default.
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