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- W2962740654 abstract "In this paper, we prove an existence result to the problem $$left{begin{array}{ll} -Delta u = |u|^{p-1} u qquad & text{ in } Omega , u= 0 & text{ on } partialOmega, end{array} right. $$ where $Omega$ is a bounded domain in $mathbb R^{N}$ which is a perturbation of the annulus. Then there exists a sequence $p_1 1$ and $pne p_k$ there exist at least one solution with $m$ nodal zones. In doing so, we also investigate the radial nodal solution in an annulus: we provide an estimate of its Morse index and analyze the asymptotic behavior as $pto 1$." @default.
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- W2962740654 date "2018-03-01" @default.
- W2962740654 modified "2023-09-26" @default.
- W2962740654 title "Nodal solutions for Lane-Emden problems in almost-annular domains" @default.
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