Positive Solutions to a Class of Semilinear Subelliptic Equation on the Global Space H~n with Nonsymmetric Nonlinear Term
TANG Xian-zhi~1, FENG Xiu-fang~2 (1. Yellow River Conservancy Technical Institute, Henan Kaifeng 475001, China; 2. Department of Mathmatics, Henan University, Henan Kaifeng 475001, China)
In this paper, we study the problem Δ_(H~n)u-u+a(x)|u|~(p-2)u=0in H~n, u0, in H~n,u∈E, where 1pQ+2Q-2, Q is the homogeneous dimension of Heisenberg group H~n. By the Mountain pass lemma, we find that it has at least one positive solution.