Existence of solutions of elliptic boundary value problems with mixed type nonlinearities
文献类型：期刊论文
| 作者 | Mao,Anmin; Zhu,Yan; Luan,Shixia |
| 刊名 | Boundary Value Problems
 |
| 出版日期 | 2012-08-31 |
| 卷号 | 2012期号:1 |
| 关键词 | pinching condition Mountain Pass Lemma Cerami condition |
| ISSN号 | 1687-2770 |
| DOI | 10.1186/1687-2770-2012-97 |
| 英文摘要 | AbstractWe study the existence of a nontrivial solution of the following elliptic boundary value problem with mixed type nonlinearities:{?△u=f(x,u)in?Ω,u=0on??Ω,where f(x,u)=?Ku+Wu. We consider the problem in a different case: lim|u|→∞f(x,u)/u=∞, lim|u|→0f(x,u)/u is some constant. Assuming that K satisfies the “pinching” condition, and W satisfies a more general superquadratic growth condition than the well-known Ambrosetti-Rabinowitz condition usually used in literature, we obtain a nontrivial solution via the Mountain Pass Lemma.MSC:35J65, 35J20, 47J10. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/1687-2770-2012-97 |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/296]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mao,Anmin |
| 作者单位 | Qufu Normal University; School of Mathematical Sciences |
| 推荐引用方式 GB/T 7714 | Mao,Anmin,Zhu,Yan,Luan,Shixia. Existence of solutions of elliptic boundary value problems with mixed type nonlinearities[J]. Boundary Value Problems,2012,2012(1). |
| APA | Mao,Anmin,Zhu,Yan,&Luan,Shixia.(2012).Existence of solutions of elliptic boundary value problems with mixed type nonlinearities.Boundary Value Problems,2012(1). |
| MLA | Mao,Anmin,et al."Existence of solutions of elliptic boundary value problems with mixed type nonlinearities".Boundary Value Problems 2012.1(2012). |
入库方式： OAI收割
来源：数学与系统科学研究院
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