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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
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
DOI10.3934/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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