Global Branch of Solutions for Non‐Linear Schrödinger Equations with Deepening Potential Well

By Charles A. Stuart, Huan-Song Zhou. 2006

50 citations recorded by the source corpus.

We consider the stationary non‐linear Schrödinger equation Δu+{ 1+λg(x) }u=f(u)with u∈H1RN,u ≠0 where λ > 0 and the functions f and g are such that lims→0f(s)s=0and1

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/71e9c9f8dfec9c9913db3775185ed82935557ec9

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In Applied Mathematics

1. Minbo Yang
2. Claudianor Oliveira Alves
3. Alânnio B. Nóbrega
4. Fashun Gao
5. Giovany M. Figueiredo
6. Jianjun Zhang
7. Daniele Cassani
8. Hongyu Ye

In Computational Theory and Mathematics

1. Minbo Yang
2. Claudianor Oliveira Alves
3. Giovany M. Figueiredo
4. Hongyu Ye
5. Gongbao Li
6. Caifeng Zhang
7. Xianling Fan

In Mathematical Physics

1. Minbo Yang
2. Claudianor Oliveira Alves
3. Alânnio B. Nóbrega
4. Fashun Gao

Citations in the corpus

• Multi-bump solutions for Choquard equation with deepening potential well (2015, background): “ors prove the existence of k solutions that may change sign for any k and λ large enough. For other results related to Schrödinger equations with deepening potential well, we may refer the readers to [33, 32, 36] The existence and characterization of the solutions for problem (1.5) with large parame”