Existence results for fractional <i>p</i>-Laplacian problems via Morse theory
Existence results for fractional <i>p</i>-Laplacian problems via Morse theory
Abstract We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of continuum mechanics, phase transition phenomena, population dynamics and game theory. Under different growth assumptions on the reaction term, we obtain various existence as well …