研究了一类带势函数的双调和不等式组的整体解的不存在性.在一定条件下,通过选择合适的测试函数,利用Young不等式、H?lder不等式及Sobolev嵌入定理等,得到解的先验估计,并应用这一估计证明不等式组的整体解的不存在性.
The nonexistence of golbal solutions for a class of biharmonic inequalities was studied. Under certain conditions,by choosing appropriate test functions and using the Young’s inequality, Holder’s inequality,Sobolev type inequalities,a priori estimate for the solutions was obtained and the nonexistence of the golbal solutions for the systems was proven.