Abstract
In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation(-Delta)(p)(alpha) u + lambda V(x)vertical bar u vertical bar(p-2)u = f (x,u) - mu g(x)vertical bar u vertical bar(q-2)u, x is an element of R-N,where lambda, mu re two positive parameters, N,p = 2, q is an element of(1,p), alpha is an element of(0,1), (-Delta)(p)(alpha) is the fractional p-Laplacian, and V, g, u:R-N - R, f: R-N x R - R.
| Original language | English (Ireland) |
|---|---|
| Article number | 166 |
| Journal | Advances In Difference Equations |
| Volume | 2019 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 May 2019 |
Keywords
- Fractional p-Laplacian equation
- Infinitely many solutions
- Variant fountain theorems
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Zhang, KY,O'Regan, D,Xu, JF,Fu, ZQ