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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point
S. A. Nazarov, K. I. Pileckas
Abstract:
The asymptotics of the solutions of the Dirichlet problem for the equation
$$
-\Delta u(x)+u(x)^{2k+1}=f(x),\qquad x\in\Omega,
$$
is studied in a plane domain $\Omega$ with a corner point of angle $\alpha$. The asymptotics of a solution of this problem is constructed in the case where the right side $f$ has a strong singularity near the corner point.
Bibliography: 12 titles.
Received: 31.01.1983
Citation:
S. A. Nazarov, K. I. Pileckas, “Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1225–1244; Math. USSR-Izv., 25:3 (1985), 531–550
Linking options:
https://www.mathnet.ru/eng/im1516https://doi.org/10.1070/IM1985v025n03ABEH001305 https://www.mathnet.ru/eng/im/v48/i6/p1225
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Abstract page: | 403 | Russian version PDF: | 87 | English version PDF: | 11 | References: | 62 | First page: | 3 |
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