Entire blow-up solutions for a quasilinear -Laplacian Schrödinger equation with a non-square diffusion term

作者：Xinguang Zhang; Lishan Liu; Yonghong Wu; Yujun Cui

来源：Applied Mathematics Letters, 2017, 74: 85-93.

• Non-square diffusion term
• Quasilinear Schrödinger equation
• Dual approach
• Entire blow-up solution

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.