Isolated singularities for elliptic equations with hardy operator and source nonlinearity

Huyuan Chen, Feng Zhou
2018 Discrete and Continuous Dynamical Systems. Series A  
In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense. 2010 Mathematics Subject Classification. 35B44, 35J75.
doi:10.3934/dcds.2018126 fatcat:p42os7egbfevbe54int4qiikwm