Abstract. We study the existence of L2 normalized solutions for nonlinear Schrödinger equations and systems. Under new Palais-Smale type conditions, we develop new deformation arguments for the constrained functional on (Formula Presented). As applications, we give other proofs to the results of [5, 8, 22]. As to the results of [5, 22], our deformation result enables us to apply the genus theory directly to the corresponding functional to obtain infinitely many solutions. As to the result , via our deformation result, we can show the existence of vector solution without using constraint related to the Pohozaev identity.
|Number of pages||38|
|Journal||Advances in Differential Equations|
|Publication status||Published - 2019 Nov|
ASJC Scopus subject areas
- Applied Mathematics