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- W2319526467 abstract "We study the asymptotic behaviour as $prightarrow infty$ of the nodal radialsolutions $u_p$ of the problembegin{equation*}left{begin{array}{rlll}-Delta u&=&|u|^{p-1}u& text{in }Omega u&=&0& text{on }partialOmega,end{array}right.end{equation*}where $Omega$ is an annulus in $mathbb{R}^N$, $Ngeq 2$.We also analyze the spectrum of the linearized operator associated to $u_p$in the case when $u_p$ has only two nodal regions. In particular, we prove that the Morse index of $u_p$ tends to $infty$ as $p$ goes to $infty$." @default.
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- W2319526467 date "2014-01-01" @default.
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- W2319526467 title "Asymptotic behaviour of sign changing radial solutions of Lane Emden Problems in the annulus" @default.
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- W2319526467 doi "https://doi.org/10.3934/dcdss.2014.7.793" @default.
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