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This article is cited in 1 scientific paper (total in 1 paper)
Dirichlet Problem for a Class of Quasilinear Elliptic Equations
A. S. Tersenov
Abstract:
In this paper, the Dirichlet problem for quasilinear elliptic equations is studied. New a priori estimates of the solution and its gradient are obtained. These estimates are derived without any assumptions on the smoothness of the coefficients and the right-hand side of the equation. Moreover, an arbitrary growth of the right-hand side with respect to the gradient of the solution is assumed. On the basis of the resulting estimates, existence theorems are proved.
Received: 28.08.2002
Citation:
A. S. Tersenov, “Dirichlet Problem for a Class of Quasilinear Elliptic Equations”, Mat. Zametki, 76:4 (2004), 592–603; Math. Notes, 76:4 (2004), 546–557
Linking options:
https://www.mathnet.ru/eng/mzm134https://doi.org/10.4213/mzm134 https://www.mathnet.ru/eng/mzm/v76/i4/p592
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