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math.AP2017★ 6 cited
Schrödinger operators with negative potentials and Lane-Emden densities
Lorenzo Brasco, Giovanni Franzina, Berardo Ruffini
We consider the Schrödinger operator for negative potentials , on open sets with positive first eigenvalue of the Dirichlet-Laplacian. We show that the spectrum of …
math.AP2017
A pathological example in Nonlinear Spectral Theory
Lorenzo Brasco, Giovanni Franzina
We construct an open set on which an eigenvalue problem for the Laplacian has not isolated first eigenvalue and the spectrum is not discrete. The same ex…
math.AP2017
Pohozaev identity for the fractional Laplacian on
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on involving the fractional Laplacian operator. Furt…