In the diagonal Ekeland-Nirenberg problem on the positive quadrant, the minimizer u and its cosine kernel K are positive everywhere if and only if d ≤ a c.
Brezis,Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, New York
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A stochastic embedding theorem recovers fundamental constants like k_B, ħ, and c from time series data and supports a superspace diffusion equation dg_ij = D_ij[g] dτ + ℓ_P dW_ij for gravity.
A seminorm bound on radial restrictions of analytic functions on the disc implies they belong to Hardy space H^p with boundary traces in Besov space B^{s}_{p,p,+}, giving an isomorphism.
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The Ekeland--Nirenberg Variational Problem:A Sharp Positivity Threshold and Extensions
In the diagonal Ekeland-Nirenberg problem on the positive quadrant, the minimizer u and its cosine kernel K are positive everywhere if and only if d ≤ a c.
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From the Stochastic Embedding Sufficiency Theorem to a Superspace Diffusion Framework
A stochastic embedding theorem recovers fundamental constants like k_B, ħ, and c from time series data and supports a superspace diffusion equation dg_ij = D_ij[g] dτ + ℓ_P dW_ij for gravity.
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A seminorm-only characterization of analytic Besov spaces on the disc
A seminorm bound on radial restrictions of analytic functions on the disc implies they belong to Hardy space H^p with boundary traces in Besov space B^{s}_{p,p,+}, giving an isomorphism.