上半空间高次分数阶Laplace方程解的不存在性

Nonexistence of positive solutions for higher order fractional Laplacians in an upper-half space

研究上半空间中带Navier条件的高次分数阶Laplace方程正解的不存在性.借助迭代法,建立高次分数阶方程的狭窄区域原理;然后结合移动平面法,证明具有Navier条件的高次分数阶方程正解的不存在性.

Nonexistence of positive solutions for equations involving higher order fractional Laplacians with Navier conditions in an upper-half space is considered.Narrow region principle of higher-order fractional Laplacian equations is established by using iterative method.And then with method of moving planes,nonexistence of positive solutions for equations involving higher-order fractional Laplacians with Navier conditions is proved.