Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

DOI10.1016/j.na.2019.111645zbMath1437.35240OpenAlexW2979322379MaRDI QIDQ2288394

Paolo Musolino, Matteo Dalla Riva, Riccardo Molinarolo

Publication date: 17 January 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111645

zbMATH Keywords

local uniqueness of the solutionsnonlinear nonautonomous transmission problemsingularly perturbed perforated domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Existence results for a nonlinear nonautonomous transmission problem via domain perturbation ⋮ Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: A functional analytic approach ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation

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