EXISTENCE AND BEHAVIOR OF POSITIVE SOLUTIONS TO ELLIPTIC SYSTEM WITH HARDY POTENTIAL

Authors

Lei Wei
Xiyou Cheng
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

8-17-2016

Abstract

In this article, we study a class of elliptic systems with Hardy potentials. We analyze the possible behavior of radial solutions to the system when p; t > 1, q; s > 0 and λ; μ > (N - 2)2=4, and obtain the existence of positive solutions to the system with the Dirichlet boundary condition under certain conditions. When λ; μ > 0, p; t > 1 and q; s > 0, we show that any radial positive solution is decreasing in r.

Comments

Copyright 2016 Texas State University.

Recommended Citation

Wei, L., Cheng, X., & Feng, Z. (2016). EXISTENCE AND BEHAVIOR OF POSITIVE SOLUTIONS TO ELLIPTIC SYSTEM WITH HARDY POTENTIAL. Electronic Journal of Differential Equations, 2016, 1–14.

Publication Title

Electronic Journal of Differential Equations