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math.AP2017★ 4 cited
Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we analyze the semi-linear fractional Laplace equation $$(-Δ)^s u = f(u) \quad\text{ in } \mathbb{R}^N_+,\quad u=0 \quad\text{ in } \mathbb{R}^N\setminus \mathbb{R}^N…
math.AP2017
Traces for fractional Sobolev spaces with variable exponents
Leandro M. Del Pezzo, Julio D. Rossi
In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if and $q:\p…