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Glasgow Mathematical Journal (1)

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ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS
CHAOQUAN PENG
Journal:

Glasgow Mathematical Journal / Volume 52 / Issue 2 / May 2010

Published online by Cambridge University Press:

29 March 2010, pp. 383-389

Print publication:

May 2010
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In this paper, we show that the semi-linear elliptic systems of the form (0.1) possess at least one non-trivial solution pair (u, v) ∈ H01(Ω) × H01(Ω), where Ω is a smooth bounded domain in ℝN, λ and μ are non-negative numbers, f(x, t) and g(x, t) are continuous functions on Ω × ℝ and asymptotically linear at infinity.