@Article{JPDE-32-156, author = {Xue , Yimin and Chen , Shouting}, title = {Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {2}, pages = {156--170}, abstract = {

In this paper, we consider an elliptic equation with exponential nonlinearities and singular term. By constructing the corresponding variational framework, and using a Singular Trudinger-Moser inequality due to Li, Mountain-pass theorem and the Ekeland’s variational principle, we get a nontrivial positive weak solution.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/13240.html} }