【摘要】 主要讨论了一类二阶椭圆型不等式,采用抛物方程和加权能量估计的方法将椭圆方程的解唯一开拓到一个更大的可测集上,简化了这类不等式解的问题,得到了关于这类不等式不存在非负的非平凡解的结果.更多还原

【Abstract】 In this paper,we show some nonexistence results for nontrivial and nonnegative solutions to a class of elliptic inequalities of second order.Our method is based on a key parabolic-equation method and a weighted energy estimate.By using our method,we will see,the key point of our argument is to reduce the problem to a unique continuation from a measurable set of solutions of elliptic.更多还原