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- Title
ON THE EXISTENCE OF POSITIVE WEAK SOLUTIONS FOR A CLASS OF CHEMICALLY REACTING SYSTEMS WITH SIGN-CHANGING WEIGHTS.
- Authors
RASOULI, S. H.; SALEHI, B.
- Abstract
We study the existence of positive weak solutions for a class of nonlinear systems ... where Δsz = div(ǀzǀs-2∇z), s > 1, λ is a positive parameter and is a bounded domain with smooth boundary, α β ε (0, 1). Here a(x) and b(x) are C¹ sign-changing functions that maybe negative near the boundary and f, g are C¹ nondecreasing functions such that f, g : (0, ∞) → (0, ∞); f(s) > 0, g(s) > 0 for s > 0 and lims→∞ f(Mg(s) ... We discuss the existence of positive weak solutions when f, g, a(x) and b(x) satisfy certain additional conditions. We use the method of sub-supersolution to establish our results.
- Subjects
NONLINEAR systems; DYNAMICAL systems; SYSTEMS theory; SMALL-gain theorem (Mathematics); STABILITY of nonlinear systems
- Publication
Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics, 2016, Vol 9, Issue 2, p71
- ISSN
2065-2151
- Publication type
Article