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Global solution curves for semilinear systems
Author(s) -
Korman Philip
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.273
Subject(s) - sublinear function , mathematics , constructive , constructive proof , simple (philosophy) , class (philosophy) , bifurcation , mathematical analysis , pure mathematics , calculus (dental) , nonlinear system , discrete mathematics , computer science , medicine , philosophy , physics , dentistry , process (computing) , epistemology , artificial intelligence , quantum mechanics , operating system
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 © 2002 John Wiley & Sons, Ltd.