Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem

Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem

In this article we analyze a boundary value problem for the Laplace equation with a nonlinear non-autonomous transmission conditions on the boundary of a small inclusion of size $\epsilon$. We show that the problem has solutions for $\epsilon$ small enough and we investigate the dependence of a s...

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Bibliographic Details
Main Author: Riccardo Molinarolo
Format: Article
Language:English
Published: Texas State University 2019-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear non-autonomous transmission problem
singularly perturbed perforated domain
small inclusion
Laplace operator
real analytic continuation in Banach space
asymptotic behaviour
Online Access:http://ejde.math.txstate.edu/Volumes/2019/53/abstr.html

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http://ejde.math.txstate.edu/Volumes/2019/53/abstr.html

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