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.
The generalized logistic equation with indefinite weight driven by the square root of the Laplacian
MUGNAI, Dimitri
2014
Abstract
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.File in questo prodotto:
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