A λ-convex variational surrogate for shallow NN training yields global well-posedness, almost C³ regularity, and an explicit linear-system solution with 1/α generalization and O(1/N) finite-width rates.
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p_n-harmonic functions with continuous unbounded exponents p_n converging uniformly to infinity converge to the viscosity solution of a suitable limiting operator.
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Limit as $p(x)\rightarrow \infty$ of $p(x)$-Harmonic functions for unbounded $p(x)$
p_n-harmonic functions with continuous unbounded exponents p_n converging uniformly to infinity converge to the viscosity solution of a suitable limiting operator.