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Nonlinear perturbations of a linear elliptic problem near its first eigenvalue |
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| Authors: | Djairo G de Figueiredo Jean-Pierre Gossez |
| Institution: | Departamento de Matematica, Universidade de Brasilia, Instituto de Ciencias Exatas, 70,000 Brasilia, D. Federal, Brazil;Department of Mathematics, University of Brussels, Brussels, Belgium |
| Abstract: | We give necessary and sufficient conditions for the solutions of the differential equation (p(t) x′(t))′ = q(t) x(t) to be bounded together with their first derivatives. We also study the asymptotic behavior of the solutions. |
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