Existence of ground states for a modified nonlinear Schrödinger equation

By D. Ruiz, Gaetano Siciliano. 2009

171 citations recorded by the source corpus.

In this paper we prove the existence of ground state solutions of the modified nonlinear Schrödinger equation: under some hypotheses on V(x). This model has been proposed in the theory of superfluid films in plasma physics. As a main novelty with respect to some previous results, we are able to deal with exponents p ∊ (1, 3). The proof is accomplished by minimization under a convenient constraint.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a0b2c738dc046c264964029a5f44e42a08ff5974

Citations in the corpus

• Multiple normalized solutions for quasi-linear Schr\"odinger equations (2014, unknown): “See [4, 12, 13, 15, 24, 25, 26, 31, 32] and their references therein.”