A. A. Kovalevsky, “A priori properties of solutions of nonlinear equations with degenerate coercivity and <nobr>$L^1$</nobr>-data”, CMFD, 2006, Volume 16,Pages <nobr>47

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A priori properties of solutions of nonlinear equations with degenerate coercivity and $L^1$-data

A. A. Kovalevsky

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: A Dirichlet problem for a second-order nonlinear elliptic equation in the general divergent form with a right-hand side from $L^1$ is considered. The high-order coefficients in the equation are supposed to satisfy the degenerate coercivity condition. The main results concern a priori properties of summability and some estimates of entropy solutions of this problem.

UDC: 517.9