Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841648 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
Abstract
We prove the existence of nonnegative solutions to the system −Δu=λa(x)f(v)in Ω,−Δv=λb(x)g(u)in Ω,u=0=von ∂Ω, where ΩΩ is a bounded domain in RNRN with a smooth boundary ∂Ω,λ∂Ω,λ is a positive parameter. By the method of monotone iteration and Schauder fixed point theorem, we prove the existence of a nonnegative solution to the above system for λλ sufficiently small. In this study, we do not restrict the sign of aa and bb.
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Authors
J. Tyagi,