Abstract
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.
Original language | English |
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Pages (from-to) | 22-33 |
Number of pages | 12 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 431 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Nov. 2015 |
Keywords
- Discrete p(n)-Laplacian equation
- Ground state solution
- Nehari manifold
- Palais-Smale condition
- Variable exponent sequence space
- Variational methods