Solutions of nonhomogeneous equations involving Hardy potentials with singularities on the boundary

2020/02/28 by Chen, Huyuan, Quaas, Axander, Zhou, Feng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.12569

Abstract

In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain. Then we use it to obtain the boundary isolated singular solutions of nonhomogeneous problems.

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