We develop a nonlinear model for electroosmotic transport through a constricted microchannel with a rigid curved upper wall and a compliant lower wall. The framework couples Helmholtz-Smoluchowski slip under a globally constrained electric field, lubrication hydrodynamics, quasistatic Kirchhoff-Love wall bending, and Derjaguin-Landau-Verwey-Overbeek disjoining pressure. The response is governed by wall stiffness, geometric curvature, surface conduction, and the strengths of the repulsive and attractive intermolecular interactions. Asymptotic analysis and fully coupled Chebyshev-collocation computations reveal three regimes: a stiff-wall regime with negligible deformation, a compliance-limited regime in which localized throat narrowing suppresses throughput, and a small-gap saturation regime in which further thinning becomes progressively slower because of the coupled elastic, hydrodynamic, and disjoining-pressure response. In the strong-constriction limit, geometric focusing amplifies the electric field and produces a sublinear increase of throughput with curvature, whereas in the localized-throat limit the deformation and compliance-induced flux reduction are organized by the effective stiffness $\mathcal{B}{C}^2$. The results provide compact, design-oriented scaling laws for compliant electroosmotic constrictions and clarify how stiffness, curvature, surface conduction, and minimum-gap interactions regulate transport in soft microfluidic, biosensing, drug-delivery, and iontronic systems.

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• Elastic deformation
• Electrokinetic flows
• Low Reynolds number flows
• Lubrication theory
• van der Waals interaction