4 citations · 5 across the 3 of their papers we have counts for
5 papers
The sharp exponent in the study of the nonlocal Hénon equation in . A Liouville theorem and an existence result
B. Barrios, A. Quaas
We will consider the nonlocal Hénon equation where is the fractional Laplacian operator with , , and $N…
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…
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…
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…
Solvability of nonlinear elliptic equations with gradient terms
Patricio Felmer, Alexander Quaas, Boyan Sirakov
We study the solvability in the whole Euclidean space of coercive quasi-linear and fully nonlinear elliptic equations modeled on , , where and…