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Nonlinear scalar field equations, I existence of a ground state
Open accessAbstract
1. The Main Result; Examples . . . . . . . . . . . . . . . . . . . . . . . 316 2. Necessary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 319 3. The Constrained Minimization Method . . . . . . . . . . . . . . . . . . 323 4. Further Properties of the Solution . . . . . . . . . . . . . . . . . . . . 328 5. The "Zero Mass" Case . . . . . . . . . . . . . . . . . . . . . . . . . 332 6. The Case of Dimension N = 1 (Necessary and Sufficient Conditions) . . . . . 335 Appendix. Technical Results . . . . . . . . . . . . . . . . . . . . . . . . 338
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Cited by
Wave collapse in physics: principles and applications to light and plasma waves
Bergé, L. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00092-6 · Cited by 835
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Selvitella, A. (2017) · Journal of Statistical Distributions and Applications · doi:10.1186/s40488-017-0056-5 · Cited by 16
Metadata
- Authors
- Berestycki, H., & Lions, P. L.
- Venue
- Archive for Rational Mechanics and Analysis
- Published
- 1983-12
- Volume
- 82
- Issue
- 4
- Pages
- 313-345
- ISSN
- 0003-9527 (ISSN-L)
- 1432-0673
- OpenAlex
- W2071132730
- Cited by
- 2,607
- References
- 0
- FWCI
- 22.63
- Type
- journal article
- Language
- en
- Open access
- green
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- Berestycki, H., & Lions, P. L. (1983). Nonlinear scalar field equations, I existence of a ground state. Archive for Rational Mechanics and Analysis. https://doi.org/10.1007/bf00250555
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
