@Article{JPDE-31-237, author = {Chaona , Zhu}, title = {Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {3}, pages = {237--251}, abstract = {

In this paper, we consider the following nonlinear elliptic equation △_f^u+hu^α=0 on the complete smooth metric space (Rn, g0, e −f dvg0), where g0 is the Euclidean metric on Rn and f = |x|2/4. We prove gradient estimates and Liouville-Type theorems for positive solutions of the above equation.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/12707.html} }