Solvability of nonlinear elliptic boundary value problem via its associated linear problem
文献类型：期刊论文
| 作者 | Han, ZQ |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 290期号:1页码:21-34 |
| 关键词 | elliptic boundary value problem eigenvalue Leray-Schauder principle |
| ISSN号 | 0022-247X |
| DOI | 10.1016/jmaa.2003.08.009 |
| 英文摘要 | We investigate the existence of solutions of a nonlinear elliptic boundary value problem at resonance. Under the condition that the associated linear boundary value problem has no sign-changing solution or nontrivial solution and some other additional conditions, we prove the existence of solutions or nontrivial (even multiple) solutions to the nonlinear problem. Thus the existence of solutions can be obtained when the nonlinearity may cross any finite number of eigenvalues of the linear problem. (C) 2003 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000188777500003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/599]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Han, ZQ |
| 作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116023, Liaoning, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, ZQ. Solvability of nonlinear elliptic boundary value problem via its associated linear problem[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,290(1):21-34. |
| APA | Han, ZQ.(2004).Solvability of nonlinear elliptic boundary value problem via its associated linear problem.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,290(1),21-34. |
| MLA | Han, ZQ."Solvability of nonlinear elliptic boundary value problem via its associated linear problem".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 290.1(2004):21-34. |
入库方式： OAI收割
来源：数学与系统科学研究院
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