𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global solution curves for semilinear systems

✍ Scribed by Philip Korman


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
135 KB
Volume
25
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We study semilinear elliptic systems in two different directions. In the first one we give a simple constructive proof existence of solutions for a class of sublinear systems. Our main results are in the second direction, where we use bifurcation theory to study global solution curves. Crucial to our analysis is proving positivity properties of the corresponding linearized systems. Copyright Β© 2002 John Wiley & Sons, Ltd.


πŸ“œ SIMILAR VOLUMES


The Global Solution Set for a Class of S
✍ Philip Korman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 224 KB

We use bifurcation theory to study positive, negative, and sign-changing solutions for several classes of boundary value problems, depending on a real parameter . We show the existence of infinitely many points of pitchfork bifurcation, and study global properties of the solution curves.

Integral Inequalities and Global Solutio
✍ Milan MedvedΜ† πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 86 KB

A criterion for the nonexplosion of solutions to semilinear evolution equations on Banach spaces is proved. The result is obtained by applying a modification of the Bihari type inequality to the case of a weakly singular nonlinear integral inequality.