7 citations · 15 across the 3 of their papers we have counts for
4 papers
Periodic solutions for the one-dimensional fractional Laplacian
B. Barrios, J. García-Melián, A. Quaas
In this paper we are concerned with the construction of periodic solutions of the nonlocal problem in , where stands for the -Laplacian, $s…
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…
Nonexistence of positive solutions for Henon equation
Jorge Garcia-Melian
We consider the semilinear elliptic equation where , and . We show that there are no positive solutions prov…
A priori bounds and existence of solutions for some nonlocal elliptic problems
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degre…