Abstract
We study the one-dimensional generalized Hénon equation under the Dirichlet boundary condition. It is known that there exist at least three positive solutions if the coefficient function is even. In this paper, without the assumption of evenness, we prove the existence of at least three positive solutions.
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R. Kajikiya was supported in part by the Grant-in-Aid for Scientific Research (C) (No. 24540179), Japan Society for the Promotion of Science.
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Kajikiya, R. Three Positive Solutions of the One-Dimensional Generalized Hénon Equation. Results. Math. 66, 427–459 (2014). https://doi.org/10.1007/s00025-014-0385-3
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DOI: https://doi.org/10.1007/s00025-014-0385-3