On fractional \(p\)-Laplacian problems with weight. (English) Zbl 1363.34009

Lehrer, Raquel; Maia, Liliane A.; Squassina, Marco

Differ. Integral Equ. 28, No. 1-2, 15-28 (2015).

Summary: We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional \(p\)-Laplacian operator. The problem is set on a unbounded domain and compactness issues have to be handled.

MSC:

34A08	Fractional ordinary differential equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

fractional \(p\)-Laplacian; nonnegative solution; distributional solution