Stability and intersection properties of solutions to the nonlinear biharmonic equation

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dc.creatorKarageorgis, Paschalis
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:51Z
dc.date.available2026-07-07T08:19:51Z
dc.descriptionWe study the positive, regular, radially symmetric solutions to the nonlinear biharmonic equation $Δ^2 ϕ= ϕ^p$. First, we show that there exists a critical value $p_c$, depending on the space dimension, such that the solutions are linearly unstable if $p<p_c$ and linearly stable if $p\geq p_c$. Then, we focus on the supercritical case $p\geq p_c$ and we show that the graphs of no two solutions intersect one another.
dc.identifierhttps://arxiv.org/abs/0707.3450
dc.identifierhttp://arxiv.org/abs/0707.3450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134908
dc.subjectAnalysis of PDEs
dc.titleStability and intersection properties of solutions to the nonlinear biharmonic equation
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