Displaying similar documents to “A posteriori estimations of approximate solutions for some types of boundary value problems”

Two solutions for a nonlinear Dirichlet problem with positive forcing

J. Matos, Luis Sanchez (1996)

Mathematica Bohemica

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Given a semilinear elliptic boundary value problem having the zero solution and where the nonlinearity crosses the first eigenvalue, we perturb it by a positive forcing term; we show the existence of two solutions under certain conditions that can be weakened in the onedimensional case.