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.
Bifurcation for positive solutions of nonlinear diffusive logistic equations in R^N with indefinite weight
MUGNAI, Dimitri;
2014
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.File in questo prodotto:
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