Nontrivial solutions of discrete nonlinear equations with variable exponent. (English) Zbl 1318.39006
Summary: 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.
MSC:
| 39A12 | Discrete version of topics in analysis |
| 39A10 | Additive difference equations |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
Keywords:
discrete \(p(n)\)-Laplacian equation; ground state solution; Palais-Smale condition; Nehari manifold; variational methods; variable exponent sequence spaceReferences:
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