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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1972 Volume 87(129), Number 1, Pages 37–43 (Mi sm3033)

The behavior of solutions in the neighborhood of a boundary point and at infinity for quasilinear elliptic equations with a weak nonlinearity

A. A. Kosmodem'yanskii (Jr.)


Abstract: In this article we investigate the behavior of solutions of quasilinear equations of elliptic type in unbounded regions (halfplane, cone) and in the neighborhood of boundary points. The results are obtained by the $S$-capacity method.
Bibliography: 7 titles.

UDC: 517.946

MSC: 35J40

Received: 16.11.1970


 English version:
Mathematics of the USSR-Sbornik, 1972, 16:1, 36–44

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