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- W3205090185 abstract "In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism $phi$ . First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter $phi$ ." @default.
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- W3205090185 date "2021-10-11" @default.
- W3205090185 modified "2023-10-15" @default.
- W3205090185 title "Existence results for a nonlinear nonautonomous transmission problem via domain perturbation" @default.
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- W3205090185 doi "https://doi.org/10.1017/prm.2021.60" @default.
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