Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains (Q913095)

The author continues his investigations concerning the problem \(\Delta v+f(v)=0\) in \(\Omega\) (\(\zeta)\), \(\partial u/\partial \nu =0\) on \(\partial \Omega (\zeta)\) with \(\Omega (\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\) when the domain Q(\(\zeta)\) connecting two bounded n-dimensional domains \(D_ 1\) and \(D_ 2\) shrinks to a line segment as \(\zeta\) \(\to 0\).