Asymptotically linear elliptic systems in R-N

作者：Peng, Chaoquan^*

来源：Journal of Mathematical Analysis and Applications, 2011, 380(2): 540-551.

DOI：10.1016/j.jmaa.2011.04.005

• Nontrivial solution
• Asymptotically linear
• Elliptic system

In this paper, we show that semilinear elliptic systems of the form
{-(Delta u - u) - mu(Delta v - v) = g(v),
x is an element of R-N
-(Delta v - v) - lambda(Delta u - u) = f(u),
possess at least one nontrivial solution pair (u, v) is an element of H-1 (R-N) x H-1 (R-N), where lambda and mu are positive numbers, f(t) and g(t) are continuous functions on IR and asymptotically linear as t -> +infinity.

• 出版日期2011-8-15
• 单位中南民族大学