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math.AP2025
The weak maximum principle for solutions of degenerate elliptic equations with lower order terms
David Cruz-Uribe, Scott Rodney
We prove a weak maximum principle for subsolutions of a degenerate, linear, second order elliptic operator with lower order terms, building on the existence results recently proved…
math.AP2025
Existence and uniqueness of solutions of degenerate elliptic equations with lower order terms
Seyma Cetin, David Cruz-Uribe, Feyza Elif Dal +2
We prove the existence and uniqueness of solutions to a Dirichlet problem \[ \begin{cases} Lu = f + v^{-1}\text{Div}(v{\bf e} h), & x \in Ω; u = 0, & x \in \partial Ω, \end{cases}\…
math.CA2025
Geometric Structure in Weighted Alpert Wavelets
Fletcher Gates, Scott Rodney
In this paper we present a number of results concerning Alpert wavelet bases for , with a locally finite positive Borel measure on . We show that the prop…