【摘 要】
:
In this talk we discuss existence of boundary blow up solutions for some fractional elliptic equations including (-△)αu + up = f in Ω,u = g on Ωe,lim x
【机 构】
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DepartamentodeIngenieríaMatemáticaandCentrodeModelamientoMatemáticoUMR2071CNRS-UChile,UniversidaddeC
【出 处】
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International Conference on Variational Methods(ICAM-3)(2012
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In this talk we discuss existence of boundary blow up solutions for some fractional elliptic equations including (-△)αu + up = f in Ω,u = g on Ωe,lim x∈Ω,x→(6Ω) u(x) = ∞,where Ω is a bounded domain of class C2,α ∈ (0,1) and the functions f: Ω→ R and g: RN Ω → R are continuous.We obtain existence and boundary behavior of solutions under different hypothesis on f and g.We also prove uniqueness of positive solutions.This work is in collaboration with Huyuan Chen and Alexander Quaas.
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