Document Type
Article
Journal/Book Title/Conference
Advances in Nonlinear Analysis
Volume
9
Issue
1
Publisher
Walter de Gruyter GmbH
Publication Date
12-14-2019
First Page
1259
Last Page
1277
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Abstract
In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
We prove that, with the density function being radially symmetric, for given integer k ≥ 2 there exist a family of non-radial, k-bump type normalized solutions (i.e., with the L2 constraint) which concentrate at the global maximum points of density functions when ε → 0+. The proof is based on a variational method in particular on a convexity technique and the concentration-compactness method.
Recommended Citation
Wang, X. & Wang, Z. (2019). Normalized multi-bump solutions for saturable Schrödinger equations. Advances in Nonlinear Analysis, 9(1), pp. 1259-1277. Retrieved 7 Feb. 2020, from doi:10.1515/anona-2020-0054
