The precise boundary trace of solutions of a class of supercritical nonlinear equations
classification
🧮 math.AP
keywords
boundaryprecisesolutionssupercriticaltraceboundedcaseclass
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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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