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This article is cited in 2 scientific papers (total in 2 papers)
A regularity condition for generalized solutions of higher-order quasilinear elliptic equations
I. V. Skrypnik
Abstract:
Regularity is proved for an arbitrary generalized solution of a quasilinear elliptic equation of divergent type which belongs to $W_2^{m+n/2}(\Omega')$, for an arbitrary strictly interior subregion $\Omega'$ of a region $\Omega$ ($2m$ is the order of the equation, and $n$ is the number of arguments). It follows from this, in particular, that the regularity problem has an affirmative solution in the two-dimensional case.
Received: 04.07.1972
Citation:
I. V. Skrypnik, “A regularity condition for generalized solutions of higher-order quasilinear elliptic equations”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973), 1376–1427; Math. USSR-Izv., 7:6 (1973), 1371–1421
Linking options:
https://www.mathnet.ru/eng/im2365https://doi.org/10.1070/IM1973v007n06ABEH002090 https://www.mathnet.ru/eng/im/v37/i6/p1376
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Abstract page: | 409 | Russian version PDF: | 304 | English version PDF: | 7 | References: | 61 | First page: | 2 |
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