Special Session 93: Recent trends in elliptic and parabolic equations
Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to critical quasi-linear static Schrodinger-Hartree equation involving p-Laplacian
Zhao Liu
Jiangxi Science and Technology Normal University Peoples Rep of China
Co-Author(s): Wei Dai, Yafei Li
Abstract:
In this talk, we are concerned with nonnegative weak solution to critical quasi-linear static Schrodinger-Hartree equation with p-Laplacian. We establish regularity and the sharp estimates on asymptotic behaviors for any positive solution u and gradient u to more general equation. Then, as a consequence, we prove that all the nontrivial nonnegative solutions are radially symmetric and strictly decreasing about some point.