Estimates for extremal values of -delta u = h(x)u(q) + lambda w(x)u(p)
文献类型:期刊论文
| 作者 | Sun, Yijing |
| 刊名 | Communications on pure and applied analysis
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| 出版日期 | 2010-05-01 |
| 卷号 | 9期号:3页码:751-760 |
| 关键词 | Semilinear elliptic equations Extremal values Variational methods |
| ISSN号 | 1534-0392 |
| DOI | 10.3934/cpaa.2010.9.751 |
| 通讯作者 | Sun, yijing(yjsun@gucas.ac.cn) |
| 英文摘要 | In this paper we provide uniform estimates for lambda*(n, omega, q, p, h, w) of nonlinear elliptic equations -delta u = h(x)u(q) + lambda w(x)u(p) where w may change sign. we use a variational technique. still few general results are known for this type of estimates except [6] of gazzola and malchiodi, which provide uniform estimates for the extremal value in case -delta u = lambda(1+u)(p). |
| WOS关键词 | ELLIPTIC EQUATION ; NEHARI MANIFOLD ; EXISTENCE ; EXPONENT |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274259600012 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2412477 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Sun, Yijing |
| 作者单位 | Chinese Acad Sci, Grad Univ, Dept Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Yijing. Estimates for extremal values of -delta u = h(x)u(q) + lambda w(x)u(p)[J]. Communications on pure and applied analysis,2010,9(3):751-760. |
| APA | Sun, Yijing.(2010).Estimates for extremal values of -delta u = h(x)u(q) + lambda w(x)u(p).Communications on pure and applied analysis,9(3),751-760. |
| MLA | Sun, Yijing."Estimates for extremal values of -delta u = h(x)u(q) + lambda w(x)u(p)".Communications on pure and applied analysis 9.3(2010):751-760. |
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来源:中国科学院大学
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