Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems
文献类型：期刊论文
| 作者 | Li, Chong2; Li, Shujie1; Liu, Zhaoli3 |
| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 32期号:2页码:237-251 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-007-0138-1 |
| 英文摘要 | In this paper we study the jumping nonlinear problem [GRAPHICS] together with its energy functional j((b,a))(u)=1/2 integral(Omega)vertical bar del u vertical bar(2)-b(u(+))(2) - a(u(-))(2) , u epsilon H-0(1)(Omega). Convexity and concavity of J ((b,a))(u) in the case where Ky Fan's minimax theorem does not directly work is studied, existence of type (II) regions is verified, and unique solvability of the problem [GRAPHICS] is investigated. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254234500006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5701]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Shujie |
| 作者单位 | 1.Harbin Normal Univ, Yuan Rong Zeng Funct Ananl Res Ctr, Harbin 150025, Peoples R China 2.Acad Sinica, AMSS, Inst Math, Beijing 100080, Peoples R China 3.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Chong,Li, Shujie,Liu, Zhaoli. Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2008,32(2):237-251. |
| APA | Li, Chong,Li, Shujie,&Liu, Zhaoli.(2008).Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,32(2),237-251. |
| MLA | Li, Chong,et al."Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 32.2(2008):237-251. |
入库方式： OAI收割
来源：数学与系统科学研究院
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