2013 | OriginalPaper | Chapter
On the Uniqueness of Solution for a Class of Semilinear Elliptic Problems
Authors : D. G. Costa, D. G. De Fiweiredo, J. V. A. Goncalves
Published in: Djairo G. de Figueiredo - Selected Papers
Publisher: Springer International Publishing
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We shall discuss here the uniqueness of solution of the Dirichlet problem
$$ - \Updelta u = f(u) + \rho h(x)\quad {\text{in}}\,\Upomega , {\text{ u = 0}}\quad {\text{on }}\partial \Upomega , $$
for large values of the real parameter
$$ \rho $$
.