5 papers
Linking over cones for the Neumann Fractional Laplacian
Dimitri Mugnai, Edoardo Proietti Lippi
We consider nonlinear problems governed by the fractional Laplacian in presence of nonlocal Neumann boundary conditions. We face two problems. First: the superlinear term m…
Neumann fractional Laplacian: eigenvalues and existence results
Dimitri Mugnai, Edoardo Proietti Lippi
We develop some properties of the Neumann derivative for the fractional Laplacian in bounded domains with general . In particular, we prove the existence of a divergin…
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
Mauro Francesconi, Dimitri Mugnai
We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods bas…
A fractional eigenvalue problem in
Giacomo Bocerani, Dimitri Mugnai
We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.
On the exact number of bifurcation branches from a multiple eigenvalue
Dimitri Mugnai, Angela Pistoia
We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches…