The generalized logistic equation with indefinite weight driven by the square root of the Laplacian
Alessio Marinelli, Dimitri Mugnai · Nonlinearity · 2014
We consider an elliptic problem driven by the square root of the negative Laplacian in the presence of a general logistic function having an indefinite weight. We prove a bifurcation result for the associated Dirichlet problem via regularity estimates of independent interest for when the weight belongs only to certain Lebesgue spaces.