TY - JOUR
T1 - Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term
AU - Xue , Yimin
AU - Chen , Shouting
JO - Journal of Partial Differential Equations
VL - 2
SP - 156
EP - 170
PY - 2019
DA - 2019/07
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n2.5
UR - https://global-sci.org/intro/article_detail/jpde/13240.html
KW - Singular Trudinger-Moser inequality
KW - Mountain-pass theorem
KW - exponential growth.
AB - <p>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.</p>