| Full text | |
| Author(s): |
Fiscella, Alessio
Total Authors: 1
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S; v. 13, n. 7, p. 15-pg., 2020-07-01. |
| Abstract | |
This paper is devoted to the study of the following Schrodinger-Kirchhoff-Hardy equation in R-n M(integral integral(R2n) vertical bar u(x) - u(y)vertical bar(p)/vertical bar x - y vertical bar(n) vertical bar ps dxdy) (-Delta)(p)(s)u + V(x)vertical bar u vertical bar(p-2) u-u vertical bar u vertical bar(p-2)u/vertical bar x vertical bar p(s) = f(x, u), where (-Delta)(p)(s) is the fractional p-Laplacian, with s is an element of (0, 1) and p > 1, dimension n > ps, M models a Kirchhoff coefficient, V is a positive potential, f is a continuous nonlinearity and mu is a real parameter. The main feature of the paper is the combination of a Kirchhoff coefficient and a Hardy term with a suitable function f which does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Under different assumptions for f and restrictions for mu, we provide existence and multiplicity results by variational methods. (AU) | |
| FAPESP's process: | 17/19752-3 - Fractional problems with lack of compactness |
| Grantee: | Alessio Fiscella |
| Support Opportunities: | Regular Research Grants |