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

                     Capture122.JPG

where Capture215.JPG for some α ∈ (0, 1) is non-negative and Capture37.JPG

Capture43.JPG is a locally Holder continuous function which may be singular at zero.                              

Keywords: existenceground solution, quasilinear elliptic, convection term.


How to Cite

Li, Qin, and Zuodong Yang. 2012. “Ground State Solutions for A Quasilinear Elliptic Problem With a Convection Term”. Journal of Advances in Mathematics and Computer Science 2 (2):114-25. https://doi.org/10.9734/BJMCS/2012/1133.

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