Abstract
We study the existence of solutions to nonlocal Schrödinger problems with different types of potentials (formula present) is known as the Lagrange multiplier, κ > 0 is a parameter, W ∈ C(R2) is the nonnegative external potential, μ ∈ (0, 2), and F denotes the primitive function of f ∈ C(R) which has critical exponential growth in the Trudinger-Moser sense at infinity. We prove that the problems admit at least a positive solution, and we analyze the concentrating behavior.
| Original language | English |
|---|---|
| Pages (from-to) | 1-23 |
| Number of pages | 23 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2025 |
| Issue number | 01-?? |
| DOIs | |
| Publication status | Published - 2025 |
All Science Journal Classification (ASJC) codes
- Analysis
Keywords
- Choquard equation
- critical exponential growth
- Positive normalized solution
- Rabinowitz’s type potential
- steep potential well
- variational method
Fingerprint
Dive into the research topics of 'CONCENTRATING NORMALIZED SOLUTIONS FOR 2D NONLOCAL SCHRÖDINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver