Bifurcation for Positive Solutions of Nonlinear Diffusive Logistic Equations in R-N with Indefinite Weight

摘要

We consider a diffusive p-logistic equation in the whole of R-N with absorption and an indefinite weight. Using variational and truncation techniques, we prove a bifurcation theorem and describe completely the bifurcation point. In the semilinear case p = 2, under an additional hypothesis on the absorption term, we show that the positive solution is unique.