Ground State Solutions for A Quasilinear Elliptic Problem with a Convection Term
Qin Li
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210046, China
Zuodong Yang *
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210046, China and College of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210046, China.
*Author to whom correspondence should be addressed.
Abstract
By a sub-supersolution argument and a perturbed argument, we improve the earlier results
concerning the existence of ground state solutions to a quasilinear elliptic problem
where for some α ∈ (0, 1) is non-negative and
is a locally Holder continuous function which may be singular at zero.
Keywords: existenceground solution, quasilinear elliptic, convection term.