Examinando por Autor "Colorado, Eduardo"

Mostrando 1 - 3 de 3
  • Miniatura
    Publicación
    Asymptotically Linear Problems and Antimaximum Principle for the Square Root of the Laplacian
    (2016-03-10) Arcoya, David; Colorado, Eduardo; Leonori, Tommaso; https://orcid.org/0000-0002-7284-2413; https://orcid.org/0000-0002-1067-5752; https://orcid.org/0000-0002-0848-4463
    This work deals with bifurcation of positive solutions for some asymptotically linear problems, involving the square root of the Laplacian (-Delta)(1/2). A simplified model problem is the following: {(-Delta)(1/2)u = lambda m(x)u + g(u) in Omega, u = 0 on partial derivative Omega, with Omega subset of R-N a smooth bounded domain, N >= 2, lambda > 0, m is an element of L-infinity(Omega), m(+) not equivalent to 0 and g is a continuous function which is super-linear at 0 and sub-linear at infinity. As a consequence of our bifurcation theory approach we prove some existence and multiplicity results. Finally, we also show an anti-maximum principle in the corresponding functional setting.
  • Miniatura
    Publicación
    Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data
    (De Gruyter, 2021-10-01) Carmona, José; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro
    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 Laplacian.
  • Miniatura
    Publicación
    Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions
    (Elsevier, 2020-08-01) Carmona, José; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro
    We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator and a concave-convex term, together with mixed Dirichlet-Neumann boundary conditions.