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Asymptotics of nonlinear Robin energies

math.AP · 2025-06-07 · conditional · novelty 6.0

For nonlinear Robin energies with p-Laplacian bulk and q-power boundary penalty, the paper derives first-order asymptotic expansions of the minimum energy in the Dirichlet limit (rate α^{-1/(q-1)}) and in the Neumann limit (linear approach if the source has zero mean, power divergence otherwise).

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  • Asymptotics of nonlinear Robin energies math.AP · 2025-06-07 · conditional · none · ref 1

    For nonlinear Robin energies with p-Laplacian bulk and q-power boundary penalty, the paper derives first-order asymptotic expansions of the minimum energy in the Dirichlet limit (rate α^{-1/(q-1)}) and in the Neumann limit (linear approach if the source has zero mean, power divergence otherwise).