Normalized Ground States for Nonlinear Coupled SchröDinger Systems With Critical Exponential Growth in ℝ <sup>2</sup>
ABSTRACT In this paper, we study the existence of normalized ground state solutions to the nonlinear Schrödinger systems with critical exponential growth nonlinearities and nonlinear coupled terms in satisfying the normalized constraints , , and . By revealing the basic behavior of the mountain‐pass energy when coupled constant is sufficiently large and applying ingenious analysis techniques, we restore the compactness. Our results improve and extend the previous results.
Authors
- Jing Chen (ORCID: https://orcid.org/0000-0002-3987-0009)
- Yawen Tan
Institutions
- Hunan University of Science and Technology (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-02-10
- DOI
- https://doi.org/10.1002/mma.10772
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00