Sabri Bensid
Abstract:
We study the discontinuous elliptic problem
where
is a regular bounded domain of
,
is the Heaviside function,
are a positive real parameters
and h is a given function. We prove the existence of solutions,
and characterize the free boundaries
using the perturbation of the boundary condition and smooth
boundary of the domain.
Submitted April 14, 2016. Published June 7, 2016.
Math Subject Classifications: 34R35, 35J25.
Key Words: Perturbation; implicit function theorem; free boundary problem.
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Sabri Bensid Department of Mathematics Faculty of Sciences University of Tlemcen, B.P. 119 Tlemcen 13000, Algeria email: edp_sabri@yahoo.fr |
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