Entire blow-up solutions for a quasilinear p-Laplacian Schrödinger equation with a non-square diffusion term. (December 2017)

• Record Type: Journal Article
• Authors: Zhang, Xinguang; Liu, Lishan; Wu, Yonghong; Cui, Yujun
• Is Part Of: Applied mathematics letters. Volume 74(2017:Dec.)
• Page Start: 85
• Page End: 93
• Publication Date: 2017-12
• Subjects: Non-square diffusion term -- Quasilinear Schrödinger equation -- Dual approach -- Entire blow-up solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.05.010
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we study the entire blow-up solutions for a quasilinear p -Laplacian Schrödinger elliptic equation with a non-square diffusion term. By using the dual approach and some new iterative techniques, the difficulty due to the non-square diffusion term and the p -Laplacian operator is overcome and the nonexistence and existence of entire blow-up solutions are established.