J. Matos, L. Sanchez, Universidade de Lisboa, Centro de Matematica e Aplicac oes Fundamentais, Avenida Professor Gama Pinto, 2, 1699 - Lisboa Codex, Portugal
Abstract: 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.
Keywords: semilinear elliptic equations, multiple solutions, shooting method, variational methods
Classification (MSC91): 34B15, 35J25
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