Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs

As a consequence of this result we derive a Liouville type theorem ensuring that there exists neither a ground state solution to this equation, nor a positive solution of the

In order to study the asymptotic profile of the ground state solutions we need to develop finer estimates on the ground state energy than those given above and to derive a

Under a Nehari type condition, we show that the standard Ambrosetti–Rabinowitz super-linear condition can be replaced by a more natural super-quadratic condition.. © 2006

COLIN, On the Cauchy Problem for a Nonlocal, Nonlinear Schrödinger Equation Occuring in Plasma Physics, Differential and Integral Equations, Vol. STRAUSS,

We consider in this paper the problem of the existence of a ground state for a class of Hamil- tonians used in physics to describe a confined quantum system (”matter”) interacting

The purpose of this note is to correct an error in our paper [1] on the existence of ground states for massless Pauli-Fierz Hamiltonians2. We will use the notation

As for (mNLS), the study of blowup solution to the focusing mass-critical nonlinear fractional Schr¨ odinger equation is closely related to the notion of ground state which is

We study relations between the ground-state energy of a quantum graph Hamiltonian with attractive δ coupling at the vertices and the graph geometry.. We derive a necessary and