Boundary singularities of solutions of N-harmonic equations with absorption

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dc.creatorBorghol, Rouba
dc.creatorVeron, Laurent
dc.date2008-05-23
dc.date.accessioned2026-07-07T12:19:12Z
dc.date.available2026-07-07T12:19:12Z
dc.descriptionWe study the boundary behaviour of solutions $u$ of $-Δ_{N}u+ |u|^{q-1}u=0$ in a bounded smooth domain $Ω\subset\mathbb R^{N}$ subject to the boundary condition $u=0$ except at one point, in the range $q>N-1$. We prove that if $q\geq 2N-1$ such a $u$ is identically zero, while, if $N-1<q<2N-1$, $u$ inherits a boundary behaviour which either corresponds to a weak singularity, or to a strong singularity. Such singularities are effectively constructed.
dc.identifierhttps://arxiv.org/abs/0805.3661
dc.identifierhttp://arxiv.org/abs/0805.3661
dc.identifierJournal of Functional Analysis 241 (2006) 611-637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212672
dc.subjectAnalysis of PDEs
dc.subject35J60
dc.titleBoundary singularities of solutions of N-harmonic equations with absorption
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