Ground States for Semi-Relativistic Schrödinger-Poisson-Slater Energy
Author:
Affiliation:
1. Università di Sassari
2. Waseda University
3. Università di Pisa
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/60/3/60_353/_pdf
Reference18 articles.
1. [1] Bahouri, H., Chemin, J.-Y. and Danchin, R., Fourier Analysis and Nonlinear Partial Differential Equations, Springer, 2011.
2. [2] Bellazzini, J., Frank, R. L. and Visciglia, N., Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems, Math. Annalen, 360 (2014), 653-673.
3. [3] Bellazzini, J. and Siciliano, G., Stable standing waves for a class of nonlinear Schrödinger-Poisson equations, Z. Angew. Math. Phys., 62 (2011), 267-280.
4. [4] Bellazzini, J. and Siciliano, G., Scaling properties of functionals and existence of constrained minimizers, J. Funct. Analysis, 261 (2011), 2486-2507.
5. [5] Brezis, H. and Lieb, E., A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc., 88 (1983), 486-490.
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