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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★ 4 cited
Periodic solutions to the Cahn-Hilliard equation in the plane
Andrea Malchiodi, Rainer Mandel, Matteo Rizzi
In this paper we construct entire solutions to the Cahn-Hilliard equation in the Euclidean plane, where is the standard double-we…