Least energy sign-changing solutions for nonlinear Schrodinger equations with indefinite-sign and vanishing potential

作者：Liu, Hongliang; Chen, Haibo^*; Yang, Xiaoxia

来源：Applied Mathematics Letters, 2016, 53: 100-106.

DOI：10.1016/j.aml.2015.10.010

• Schrodinger equations
• Sign-changing solutions
• Indefinite-sign and vanishing potential

We consider the following nonlinear stationary Schrodinger equation @@@ -Delta u + lambda V(x)u = K (x) f (u), in R-N, @@@ where N >= 3, lambda > 0 and V(x) changes sign and may vanish at infinity. Under some suitable conditions, the least energy solution is obtained by using variational methods. Moreover, the solution changes sign when lambda is sufficiently large. Our result unifies and improves the recent one in the literature.

• 出版日期2016-3
• 单位中南大学