Abstract
In this paper using fountain theorems we study the existence of infinitely many solutions for fractional Schrodinger-Maxwell equations{(-Delta)(alpha)u + lambda V(x)u + phi u = f(x,u) - mu g(x)vertical bar u vertical bar(q-2)u, in R-3, (-Delta)(alpha)phi = K(alpha)u(2), in R-3,where lambda, mu 0 are two parameters, alpha is an element of (0,1], K-alpha = pi(-alpha)Gamma(alpha) pi(-(3-2 alpha) 2)Gamma((3-2 alpha) 2) and (-Delta)(alpha) is the fractional Laplacian. Under appropriate assumptions on f and g we obtain an existence theorem for this system.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1165-1182 |
| Number of pages | 18 |
| Journal | Journal Of Applied Analysis And Computation |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jun 2019 |
Keywords
- Fractional Laplacian
- Infinitely many solutions
- Schrödinger-Maxwell equations
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Xu, JF,Wei, ZL,O'Regan, D,Cui, YJ