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Concave-Convex critical problems for the spectral fractional Laplacian with mixed boundary conditions
Alejandro Ortega
In this work we study the existence of solutions to the following critical fractional problem with concave-convex nonlinearities, \begin{equation*} \left \{ \begin{array}{l} (-Δ)^s…
Nonlinear Fractional Schrödinger Equations coupled by power-type nonlinearities
Eduardo Colorado, Alejandro Ortega
In this work we study the following class of systems of coupled nonlinear fractional nonlinear Schrödinger equations, \begin{equation*} \left \{ \begin{array}{l} (-Δ)^s u_1+ λ_1 u_…
Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power
Eduardo Colorado, Rafael López-Soriano, Alejandro Ortega
We consider the existence of bound and ground states for a family of nonlinear elliptic systems in , which involves equations with critical power nonlinearities and H…
Existence of bound and ground states for an elliptic system with double criticality
Eduardo Colorado, Rafael López-Soriano, Alejandro Ortega
We study the existence of bound and ground states for a class of nonlinear elliptic systems in . These equations involve critical power nonlinearities and Hardy-type…
A Strong Maximum Principle for the fractional Laplace equation with mixed boundary condition
Rafael López-Soriano, Alejandro Ortega
In this work we prove a strong maximum principle for fractional elliptic problems with mixed Dirichlet-Neumann boundary data which extends the one proved by J. Dávila to the fracti…
On the Robin function for the Fractional Laplacian on symmetric domains
Alejandro Ortega
In this work we prove the non-degeneracy of the critical points of the Robin function for the Fractional Laplacian under symmetry and convexity assumptions on the domain . This…