Multiple solutions for a semilinear elliptic system in R-N

作者：Li, Gongbao; Wang, Chunhua^*

来源：Mathematical Methods in the Applied Sciences, 2013, 36(18): 2456-2466.

DOI：10.1002/mma.2764

• semilinear elliptic system
• strongly indefinite functionals
• variational method

In this paper, we study the following semilinear elliptic system
{-Delta u u = g(x,v), x is an element of R-N, -Delta v v = f(x,u), x is an element of R-N,
where N>2, f(x,t) and g(x,t) are continuous functions and satisfy additional conditions. By using critical point theory of strongly indefinite functionals, we obtain a positive ground state solution and infinitely many geometrically distinct solutions when f(x,t) and g(x,t) are periodic in X and odd in t.

• 出版日期2013-12
• 单位华中师范大学