4 papers
A restricted nonlocal operator bridging together the Laplacian and the Fractional Laplacian
José C. Bellido, Alejandro Ortega
In this work we introduce volume constraint problems involving the nonlocal operator , closely related to the fractional Laplacian , and depending upon a para…
Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator
Pablo Álvarez-Caudevilla, Eduardo Colorado, Alejandro Ortega
This paper is devoted to the study of the existence of positive solutions for a problem related to a higher order fractional differential equation involving a nonlinear term depend…
Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data
J. Carmona, E. Colorado, T. Leonori +1
In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional Laplac…
Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions
J. Carmona, E. Colorado, T. Leonori +1
We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator, a concave-convex powers term together with mixed…