The precise boundary trace of solutions of a class of supercritical nonlinear equations

Details The precise boundary trace of solutions of a class of supercritical nonlinear equations The precise boundary trace of solutions of a class of supercritical nonlinear equations

2008-05-24

arxiv.org/abs/0805.3790v1

Comptes Rendus de l Acad\'emie des Sciences - Series I - Mathematics 344 (2007) 181-186

Mathematics

Analysis of PDEs

Scientific paper

We construct and study the properties of the precise boundary trace of
positive solutions of $-\Delta u+u^q=0$ in a smooth bounded domain of $\mathbb
R^N$, in the supercritical case $q\geq q_c=(N+1)/(N-1)$

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