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math.AP2017
On the generalized principal eigenvalue of quasilinear operators
Phuoc-Tai Nguyen, Hoang-Hung Vo
The notions of generalized principal eigenvalue for linear second order elliptic operators in general domains introduced by Berestycki et al. \cite{BNV,BR0,BR3} have become a very…
math.AP2017
Boundary singularities of solutions to semilinear fractional equations
Phuoc-Tai Nguyen, Laurent Veron, Laurent Eron
We prove the existence of a solution of (--) s u + f (u) = 0 in a smooth bounded domain with a prescribed boundary value in the class of positive Radon measures for a la…