# On p-logistic equations of equidiffusive type

On p-logistic equations of equidiffusive type We consider a p-logistic equation with equidiffusive reaction. We study the existence, nonexistence and uniqueness of positive solutions as the parameter $$\lambda >0$$ λ > 0 varies. In the case of a unique positive solution $$u_{\lambda }$$ u λ , we investigate the monotonicity and continuity properties of the map $$\lambda \rightarrow u_{\lambda }$$ λ → u λ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# On p-logistic equations of equidiffusive type

, Volume 21 (1) – Feb 10, 2016
13 pages

/lp/springer_journal/on-p-logistic-equations-of-equidiffusive-type-AQBqm3jH9b
Publisher
Springer International Publishing
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-016-0398-0
Publisher site
See Article on Publisher Site

### Abstract

We consider a p-logistic equation with equidiffusive reaction. We study the existence, nonexistence and uniqueness of positive solutions as the parameter $$\lambda >0$$ λ > 0 varies. In the case of a unique positive solution $$u_{\lambda }$$ u λ , we investigate the monotonicity and continuity properties of the map $$\lambda \rightarrow u_{\lambda }$$ λ → u λ .

### Journal

PositivitySpringer Journals

Published: Feb 10, 2016

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