Menglan Liao

activity

20182026

most citedOn behavior of solutions to a Petrovsky equation with damping and variable-exponent source

20 citations · 22 across the 10 of their papers we have counts for

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Showing 2026 · math.APShow all

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math.AP2026

Blow-up at arbitrary energy levels for a strongly damped viscoelastic wave equation with a variable-exponent logarithmic source

Menglan Liao, Mingxue Zhang

We study a strongly damped viscoelastic wave equation with a logarithmic source whose measurable exponent satisfies $2 < p_{-} \leq p (x) \leq p_{+} < 2^{*}$ . An optimal pointwise correction to…

math.AP2026

Divergence-form equations admitting nowhere $C^{1}$ Lipschitz weak solutions

Menglan Liao, Baisheng Yan

We study a class of partial differential equations in divergence form that admit highly irregular Lipschitz weak solutions. By reformulating these divergence-form equations as a fi…

Blow-up at arbitrary energy levels for a strongly damped viscoelastic wave equation with a variable-exponent logarithmic source

Divergence-form equations admitting nowhere C1 Lipschitz weak solutions

Divergence-form equations admitting nowhere $C^{1}$ Lipschitz weak solutions