Branches of solutions for an asymptotically linear elliptic problem on (R)N

摘要：

　　We consider the following nonlinear schrōdinger equation-△u + λV(x)u =f(x,u)withu ∈ H1(RN) and u (=) 0,(*)whereλ > 0 and f(x,s) is asymptotically linear withrespect to sat origin and infinity.The potential V(x) satisfies V(x) ≥ V0 > 0 for all x ∈ (R)N and |x|→+lim+∞V(x) =V(∞) ∈ (0,+∞).We provethat problem (*) has two connected sets of positive and negative solutions in (R)× W2,p((R)N)for somep ∈ 2,+∞) ∩ (N/2,+∞).

关键词： Bifurcation asymptotically linear Fredholm operator of index zero

作者: Youyan Wan

作者单位: Department of Mathematics Jianghan University Wuhan, Hubei, China

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 187-194

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）