Affiliation:
1. Université Libre de Bruxelles, CP 214, Boulevard du Triomphe, 1050Ixelles, Belgium
Abstract
AbstractWe look for solutions of {{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, {s\in(0,1)},
with a strong singularity at the boundary.
In particular, we are interested in solutions which are {L^{1}(\Omega)} and higher order
with respect to {\operatorname{dist}(x,\partial\Omega)^{s-1}}. We provide
sufficient conditions for the existence of such a solution.
Roughly speaking, these functions are the real fractional counterpart
of large solutions in the classical setting.
Cited by
16 articles.
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