5 papers
Asymptotically linear fractional problems with mixed boundary conditions
Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi
We derive the existence of solutions for an asymptotically linear equation driven by the spectral fractional Laplacian operator with mixed Dirichlet-Neumann boundary conditions. Wh…
Fractional critical systems with mixed boundary conditions
R. Kumar, A. Ortega
In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions…
Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations
Eduardo Colorado, Giovanni Monica Bisci, Alejandro Ortega +1
We consider the following nonlocal critical problem with mixed Dirichlet-Neumann boundary conditions, \begin{equation} \left\{ \begin{array}{ll} (-Î)^su=λu+|u|^{2_s^*-2}u &\text{…
New functional inequalities with applications to the arctan-fast diffusion equation
Rafael Granero-Belinchón, Martina Magliocca, Alejandro Ortega
In this paper, we prove a couple of new nonlinear functional inequalities of Sobolev type akin to the logarithmic Sobolev inequality. In particular, one of the inequalities reads $…
Positive solutions for a weighted critical problem with mixed boundary conditions
Alejandro Ortega, Luca Vilasi, Youjun Wang
We analyze the existence and multiplicity of positive solutions to a nonlocal elliptic problem involving the spectral fractional Laplace operator endowed with homogeneous mixed Dir…