Existence results for a nonlinear nonautonomous transmission problem via domain perturbation
Keyword(s):
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 $\phi$ .
2019 ◽
Vol 22
(3)
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pp. 104-113
2013 ◽
Vol 469
(2157)
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pp. 20130081
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2007 ◽
Vol 80
(2)
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pp. 420-424
2016 ◽
Vol 53
(1)
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pp. 42-52
2013 ◽
Vol 2013
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pp. 1-5
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1998 ◽
Vol 39
(4)
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pp. 621-644
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