In this paper we deal with Monge-Ampère type equations in two dimensions and, using the symmetrization with respect to the perimeter, we prove some comparison results for solutions of such equations involving the solutions of conveniently symmetrized problems.
Brandolini B. (2003). Comparison results for Monge-Ampère type equations with lower order terms. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 10(4), 455-468 [10.1007/s00030-003-1014-0].
Comparison results for Monge-Ampère type equations with lower order terms
Brandolini B.
2003-01-01
Abstract
In this paper we deal with Monge-Ampère type equations in two dimensions and, using the symmetrization with respect to the perimeter, we prove some comparison results for solutions of such equations involving the solutions of conveniently symmetrized problems.
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