Abstract
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3657-3662 |
| Number of pages | 6 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 30 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 1997 |
Keywords
- Multiplicity of solutions
- Nonlinear Dirichlet problem
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Cite this
Castro, A., Cossio, J., & Neuberger, J. M. (1997). On multiple solutions of a nonlinear Dirichlet problem. Nonlinear Analysis, Theory, Methods and Applications, 30(6), 3657-3662. https://doi.org/10.1016/S0362-546X(96)00240-4