Existence of multiple solutions for semilinear elliptic equations in the annulus |
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| Authors: | An-min Mao Xiu-ming Mo |
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| Institution: | [1]School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China [2]Department of Biotechnology, Beijing City University, Beijing 100094, China |
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| Abstract: | The existence of radial solutions of Δu + λg(|x|)f(u) = 0 in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions is investigated. It is proved that the problems have
at least two positive radial solutions on any annulus if f is superlinear at 0 and sublinear at ∞. |
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| Keywords: | fixed point index Dirichlet problems annulus |
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