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This article is cited in 5 scientific papers (total in 5 papers)
On the existence of periodic solutions of semilinear elliptic equations
Ya. Sh. Il'yasov
Abstract:
Using a variational method, the existence is proved of a solution of the equation $-\Delta u=g(u)$ in $\mathbb{R}^{N+1}$, periodic with respect to one variable and localized with respect to the remaining variables.
Received: 20.03.1992
Citation:
Ya. Sh. Il'yasov, “On the existence of periodic solutions of semilinear elliptic equations”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 167–178
Linking options:
https://www.mathnet.ru/eng/sm993https://doi.org/10.1070/SM1994v079n01ABEH003495 https://www.mathnet.ru/eng/sm/v184/i6/p67
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