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- W2034002199 abstract "In this paper, we study the Emden-Fowler equation whose coefficient is even in the interval $(-1,1)$ under the Dirichlet boundary condition. We prove that if the density of the coefficient function is thin in the interior of $(-1,1)$ and thick on the boundary, then a least energy solution is not even. Therefore the equation has at least three positive solutions: the first one is even, the second one is a non-even least energy solution $u(t)$ and the third one is the reflection $u(-t)$." @default.
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- W2034002199 date "2012-04-01" @default.
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- W2034002199 title "Non-even least energy solutions of the Emden-Fowler equation" @default.
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- W2034002199 doi "https://doi.org/10.1090/s0002-9939-2011-11172-9" @default.
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