Existence and nonexistence of blow-up solutions for a Schrodinger equation involving a nonlinear operator

摘要

By introducing a growth condition and using an iterative technique, we establish the results for the nonexistence and existence of positive entire blow-up solutions for a Schrodinger equation involving a nonlinear operator. Our main results improve and extend some existing works. In addition, we also give an example to illustrate our results. (C) 2018 Elsevier Ltd. All rights reserved.