Borderline variational problems for fractional Hardy-Schrödinger operators
In this thesis, we study properties of the fractional Hardy-Schrödinger operator L_(γ,α)≔(-∆)^(α/(2 ))- γ/〖|x|〗^α both on R^n and on its bounded domains. The following functional inequality is key to our variational approach. C〖(∫_(R^n)〖 〖|u|〗^(2_α^* (s))/〖|x|...
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| Language: | English |
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University of British Columbia
2017
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| Online Access: | http://hdl.handle.net/2429/62397 |