论文标题
单数解决方案对$ p $ -laplacian系统的对称性和单调性涉及一阶术语
Symmetry and monotonicity of singular solutions to $p$-Laplacian systems involving a first order term
论文作者
论文摘要
我们考虑由$ p $ laplacian操作员驱动的PDE系统的积极奇异解决方案(即具有不可易用的奇异性),并附加了非线性一阶术语。通过仔细使用相当新的移动平面方法,我们证明了解决方案的对称性。在标量情况下,结果已经是新的。
We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by $p$-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.