Bifurcation for positive solutions of nonlinear diffusive logistic equations in R^N with indefinite weight Dimitri MugnaiNikolaos Papageorgiou 35J2035J7035P30diffusive p{logistic equationpositive solutionHardy\'s inequalitybifurcation theoremnonlinear regularityindefinite weight 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. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5369 10.1512/iumj.2014.63.5369 en Indiana Univ. Math. J. 63 (2014) 1397 - 1418 state-of-the-art mathematics http://iumj.org/access/