We consider a p-logistic equation with equidiffusive reaction. We study the existence, nonexistence and uniqueness of positive solutions as the parameter $lambda>0$ varies. In the case of a unique positive solution $u_{lambda}$, we investigate the monotonicity and continuity properties of the map $lambda o u_{lambda}$.
On p-logistic equations of equidiffusive type / Papageorgiou, N. S.; Papalini, Francesca. - In: POSITIVITY. - ISSN 1385-1292. - STAMPA. - 21:1(2017), pp. 9-21. [10.1007/s11117-016-0398-0]
On p-logistic equations of equidiffusive type
PAPALINI, Francesca
2017-01-01
Abstract
We consider a p-logistic equation with equidiffusive reaction. We study the existence, nonexistence and uniqueness of positive solutions as the parameter $lambda>0$ varies. In the case of a unique positive solution $u_{lambda}$, we investigate the monotonicity and continuity properties of the map $lambda o u_{lambda}$.File in questo prodotto:
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