9 citations · 26 across the 6 of their papers we have counts for
6 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…
Symmetry of large solutions for semilinear elliptic equations in a ball
Carmen Cortázar, Manuel Elgueta, Jorge García-Melián
In this work we consider the boundary blow-up problem where …
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…
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces
B. Barrios, L. Del Pezzo, J. Garcia-Melian +1
In this paper we consider classical solutions of the semilinear fractional problem in with in ,…
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…