A new abstract approach using Nehari-Pankov manifolds and connected norm sets yields normalized solutions with arbitrarily large mass for mass-supercritical indefinite variational problems on graphs and domains.
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A Gaussian source with covariance proportional to L_B^{3/2} e^{-τ L_B} has expected quadratic energy exactly equal to the heat-regularized scalar Casimir trace (ħc/2) Tr(L_B^{1/2} e^{-τ L_B}) under the Green kernel from codimension-three Riesz reduction.
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Normalized solutions of Nehari-Pankov type to mass-supercritical indefinite variational problems
A new abstract approach using Nehari-Pankov manifolds and connected norm sets yields normalized solutions with arbitrarily large mass for mass-supercritical indefinite variational problems on graphs and domains.
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A Quadratic-Form Representation of the Scalar Casimir Trace from Codimension-Three Riesz Reduction
A Gaussian source with covariance proportional to L_B^{3/2} e^{-τ L_B} has expected quadratic energy exactly equal to the heat-regularized scalar Casimir trace (ħc/2) Tr(L_B^{1/2} e^{-τ L_B}) under the Green kernel from codimension-three Riesz reduction.