Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition
We look for solutions of (-△)su+f(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1(Ω){L^{1}(\Omega)} and higher order with respect to dist(x,∂Ω)s-1{\o...
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Format: | Article |
Language: | English |
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De Gruyter
2017-11-01
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Series: | Advances in Nonlinear Analysis |
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Online Access: | https://doi.org/10.1515/anona-2015-0150 |