Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
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DOI：
10.1016/s0294-1449(98)80032-2
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发表时间：
1998-07
影响因子：
1.9
通讯作者：
L. Damascelli
中科院分区：
文献类型：
--
作者：
L. Damascelli
证明了一类包含p-Laplacian算子的椭圆算子微分不等式解的弱比较定理和强比较定理。然后利用这些定理，结合移动平面法和滑动法，得到了有界区域上拟线性椭圆型方程解的对称性和单调性。
We prove some weak and strong comparison theorems for solutions of differential inequalities involving a class of elliptic operators that includes the p-laplacian operator. We then use these theorems together with the method of moving planes and the sliding method to get symmetry and monotonicity properties of solutions to quasilinear elliptic equations in bounded domains.