TY - JOUR
T1 - Nontrivial solutions of discrete nonlinear equations with variable exponent
AU - Avci, Mustafa
AU - Pankov, Alexander
N1 - Funding Information:
The first author is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) within the framework of 2219 International Postdoctoral Research Fellowship Programme (Grant No. 1059B191400450 , 12 month, 2014–2015). The first author is grateful to all faculty members of the Mathematics Department, Morgan State University, for their kind hospitality. The authors thank anonymous referees for valuable remarks.
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/11/1
Y1 - 2015/11/1
N2 - In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.
AB - In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.
KW - Discrete p(n)-Laplacian equation
KW - Ground state solution
KW - Nehari manifold
KW - Palais-Smale condition
KW - Variable exponent sequence space
KW - Variational methods
UR - http://www.scopus.com/inward/record.url?scp=84937638056&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2015.05.056
DO - 10.1016/j.jmaa.2015.05.056
M3 - Journal Article
AN - SCOPUS:84937638056
SN - 0022-247X
VL - 431
SP - 22
EP - 33
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -