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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
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions
B. Barrios, L. Del Pezzo, J. Garcia-Melian +1
In this work we obtain a Liouville theorem for positive, bounded solutions of the equation where stands for the f…