scholarly journals Asymptotically linear elliptic systems in RN

2011 ◽  
Vol 380 (2) ◽  
pp. 540-551
Author(s):  
Chaoquan Peng
2010 ◽  
Vol 52 (2) ◽  
pp. 383-389 ◽  
Author(s):  
CHAOQUAN PENG

AbstractIn 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.


2004 ◽  
Vol 29 (5-6) ◽  
pp. 925-954 ◽  
Author(s):  
Gongbao Li ◽  
Jianfu Yang

2012 ◽  
Vol 36 (12) ◽  
pp. 1533-1542
Author(s):  
Guanggang Liu ◽  
Shaoyun Shi ◽  
Yucheng Wei

2007 ◽  
Vol 49 (2) ◽  
pp. 377-390 ◽  
Author(s):  
CHAOQUAN PENG ◽  
JIANFU YANG

AbstractIn this paper, we show that the semilinear elliptic systems of the form (0.1) possess at least one positive solution pair (u, v) ∈ H10(Ω) × H10(Ω), where Ω is a smooth bounded domain in $\mathbb{R}^N$, f(x,t) and g(x, t) are continuous functions on $\Omega\times \mathbb{R}$ and asymptotically linear at infinity.


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