Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian. (English) Zbl 1366.35216
Summary: In this paper we extend two nowadays classical results to a nonlinear Dirichlet problem to equations involving the fractional \(p\)-Laplacian. The first result is an existence in a non-resonant range more specific between the first and second eigenvalue of the fractional \(p\)-Laplacian. The second result is the anti-maximum principle for the fractional \(p\)-Laplacian.
MSC:
| 35R11 | Fractional partial differential equations |
| 47G20 | Integro-differential operators |
| 45G05 | Singular nonlinear integral equations |
References:
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