On the Boyarsky–Meyers Estimate for the Gradient of the Solution to the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift: The Case of Critical Sobolev Exponent

Author:

Alkhutov Yu. A.,Chechkina A. G.

Publisher

Pleiades Publishing Ltd

Reference8 articles.

1. B. V. Boyarsky, “Generalized solutions of a system of first-order elliptic differential equations with discontinuous coefficients,” Mat. Sb. 43 (4), 451–503 (1957).

2. N. G. Meyers, “An L p-estimate for the gradient of solutions of second order elliptic divergence equations,” Ann. Sc. Norm. Super. Pisa, Cl. Sci. 17 (3), 189–206 (1963).

3. D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (Springer-Verlag, Berlin, 1983).

4. F. W. Gehring, “The L p-integrability of the partial derivatives of a quasiconformal mapping,” Acta Math. 130, 265–277 (1973).

5. M. Giaquinta and G. Modica, “Regularity results for some classes of higher order nonlinear elliptic systems,” J. Reine Angew. Math. 311/312, 145–169 (1979).

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