Examinando por Autor "Colorado, Eduardo"
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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/0000-0002-0848-4463This 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.Publicación Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data(De Gruyter, 2021-10-01) Carmona, Jose; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro; 35996792500; 6507374993; 14521092300; 56489711800In 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.Publicación Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions(Elsevier, 2020-08-01) Carmona, José; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro; 6507374993; 14521092300; 56489711800We 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.