scholarly journals Asymptotically linear elliptic systems in RN

2011 ◽  
Vol 380 (2) ◽  
pp. 540-551
Author(s):  
Chaoquan Peng
Keyword(s):  
Elliptic Systems ◽  
Asymptotically Linear

scholarly journals ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS

2010 ◽  
Vol 52 (2) ◽  
pp. 383-389 ◽  
Author(s):  
CHAOQUAN PENG
Keyword(s):  
Bounded Domain ◽  
Trivial Solution ◽  
Elliptic Systems ◽  
Continuous Functions ◽  
Asymptotically Linear ◽  
Smooth Bounded Domain ◽  
Negative Numbers ◽  
Solution Pair ◽  
Image Position

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.

Asymptotically Linear Elliptic Systems

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

Multiplicity result for asymptotically linear noncooperative elliptic systems

2012 ◽  
Vol 36 (12) ◽  
pp. 1533-1542
Author(s):  
Guanggang Liu ◽  
Shaoyun Shi ◽  
Yucheng Wei
Keyword(s):  
Elliptic Systems ◽  
Multiplicity Result ◽  
Asymptotically Linear

scholarly journals POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS

2007 ◽  
Vol 49 (2) ◽  
pp. 377-390 ◽  
Author(s):  
CHAOQUAN PENG ◽  
JIANFU YANG
Keyword(s):  
Positive Solution ◽  
Bounded Domain ◽  
Elliptic Systems ◽  
Continuous Functions ◽  
Asymptotically Linear ◽  
Smooth Bounded Domain ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Solution Pair ◽  
Image Position

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.

Sign in / Sign up

Export Citation Format

Share Document