Boundary singularities of solutions of N-harmonic equations with absorption

Details Boundary singularities of solutions of N-harmonic equations with absorption Boundary singularities of solutions of N-harmonic equations with absorption

2008-05-23

arxiv.org/abs/0805.3661v1

Journal of Functional Analysis 241 (2006) 611-637

Mathematics

Analysis of PDEs

Scientific paper

We study the boundary behaviour of solutions $u$ of $-\Delta_{N}u+ |u|^{q-1}u=0$ in a bounded smooth domain $\Omega\subset\mathbb R^{N}$ 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

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