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.
Sobolev spaces and functions of bounded variation
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
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Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
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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.