Geodesic
Two solutions for a nonlinear Dirichlet problem with positive forcing
Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 41-54

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MR Zbl
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.
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.
DOI : 10.21136/MB.1996.125934
Classification : 34B15, 35B05, 35J25, 35J65
Keywords: semilinear elliptic equations; multiple solutions; shooting method; variational methods 
Matos, J.; Sanchez, L. Two solutions for a nonlinear Dirichlet problem with positive forcing. Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 41-54. doi: 10.21136/MB.1996.125934
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