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This article is cited in 2 scientific papers (total in 2 papers)
On the existence of a countable set of solutions in a problem of polaron theory
P. E. Zhidkov
Abstract:
An investigation is made of a certain nonlinear second-order integro-differential equation having numerous applications in various areas of physics (polaron theory, the theory of many-particle quantum systems, and so on). Under certain assumptions it is proved that there is a positive solution, and, moreover, an infinite set of distinct solutions. Use is made of the Lyusternik–Shnirel'man theory of critical points and the fibering method of S. I. Pokhozhaev.
Received: 09.04.1990
Citation:
P. E. Zhidkov, “On the existence of a countable set of solutions in a problem of polaron theory”, Mat. Sb., 183:2 (1992), 102–111; Russian Acad. Sci. Sb. Math., 75:1 (1993), 247–255
Linking options:
https://www.mathnet.ru/eng/sm1474https://doi.org/10.1070/SM1993v075n01ABEH003382 https://www.mathnet.ru/eng/sm/v183/i2/p102
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Abstract page: | 211 | Full-text PDF : | 77 | References: | 33 | First page: | 1 |
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