article

Title: Bifurcation for positive solutions of nonlinear diffusive logistic equations in R^N with indefinite weight

Authors: Dimitri Mugnai and Nikolaos Socrates Papageorgiou

Issue: Volume 63 (2014), Issue 5, 1397-1418

Abstract:

$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.$