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On a fractional magnetic Schr\'odinger equation in $\mathbb{R}$ with exponential critical growth
- Source :
- Nonlinear Analysis (2019)
- Publication Year :
- 2018
-
Abstract
- We deal with a class of fractional magnetic Schr\"odinger equations in the whole line with exponential critical growth. Under a local condition on the potential, we use penalization methods and Ljusternik-Schnirelmann category theory to investigate the existence, multiplicity and concentration of nontrivial weak solutions.<br />Comment: arXiv admin note: text overlap with arXiv:1807.07444, arXiv:1801.00199, arXiv:1808.09295
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Journal :
- Nonlinear Analysis (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1810.04560
- Document Type :
- Working Paper