We consider the Laplace equation in a domain of Rn, n≥3, with a small inclusion of size ϵ. On the boundary of the inclusion we define a nonlinear nonautonomous transmission condition. For ϵ small enough one can prove that the problem has solutions. In this paper, we study the local uniqueness of such solutions.

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

Musolino P.
2020-01-01

Abstract

We consider the Laplace equation in a domain of Rn, n≥3, with a small inclusion of size ϵ. On the boundary of the inclusion we define a nonlinear nonautonomous transmission condition. For ϵ small enough one can prove that the problem has solutions. In this paper, we study the local uniqueness of such solutions.
2020
191
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/3723494
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