The generalized logistic equation with indefinite weight driven by the square root of the Laplacian

Alessio Marinelli, Dimitri Mugnai
2014 Nonlinearity  
We consider an elliptic problem driven by the square root of the Laplacian in 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 when the weight belongs only to certain Lebesgue spaces.
doi:10.1088/0951-7715/27/9/2361 fatcat:m66r7apqdbhmznv5sxf7sl6rem