Derives Clarke subdifferential and first-variation formula for the kth eigenvalue on self-adjoint operators (valid at essential spectrum edge) and applies it to characterize optimal weights in weighted Laplace/Steklov problems.
Two balls maximize the third
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves finiteness of CM S-unit j-invariants for rank 2 Drinfeld modules over F_q[T] and supplies an algorithm that computes the Hilbert modular polynomial for maximal orders.
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Eigenvalue optimization via a first-variation formula
Derives Clarke subdifferential and first-variation formula for the kth eigenvalue on self-adjoint operators (valid at essential spectrum edge) and applies it to characterize optimal weights in weighted Laplace/Steklov problems.
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Drinfeld modules in rank 2 with CM and S-unit j-invariants
Proves finiteness of CM S-unit j-invariants for rank 2 Drinfeld modules over F_q[T] and supplies an algorithm that computes the Hilbert modular polynomial for maximal orders.