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Structure of positive solutions for quasilinear elliptic systems—degenerate ecological models

✍ Scribed by Zongming Guo; Huisheng Yang

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
160 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the degenerate ecological models
where ${p,q>1, {\Delta_pu}={{\rm div}(\vert Du\vert^{p-2}Du)},{{\Delta_q}v={{\rm div}(\vert Dv\vert^{q-2}Dv)}}}, a,b,c,d,\alpha, \beta$ are positive numbers. The structure of positive solutions of the models is discussed via bifurcation theory and monotone techniques. Copyright © 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Unique continuation for positive solutio
Unique continuation for positive solutions of degenerate elliptic equations
✍ Giuseppe Di Fazio; Pietro Zamboni 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 78 KB

## Abstract We establish the strong unique continuation property for positive weak solutions to degenerate quasilinear elliptic equations. The degeneracy is given by a suitable power of a strong __A__~∞~ weight (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)