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Selected Works of Yi Li
Article
On the positive radial solutions of a class of singular semilinear elliptic equations
Journal of Differential Equations (2012)
  • Yinbin Deng
  • 8186772957 Yi Li
  • Fen Yang, Wuhan University of Science and Technology
Link
Abstract
In this paper, we consider the following elliptic equation(0.1) where , , is differentiable in and is a given nonnegative Hölder continuous function in . The asymptotic behavior at infinity and structure of separation property of positive radial solutions with different initial data for (0.1) are discussed. Moreover, the existence and separation property of infinitely many positive solutions for Hardy equation and an equation related to Caffarelli–Kohn–Nirenberg inequality are obtained respectively, as special cases.
Keywords
  • Elliptic equation,
  • Positive solution,
  • Asymptotic behavior,
  • Separation property,
  • Hardy equation Caffarelli–Kohn–Nirenberg inequality
Disciplines
Publication Date
July 15, 2012
DOI
https://doi.org/10.1016/j.jde.2012.02.017
Citation Information
Yinbin Deng, Yi Li and Fen Yang. "On the positive radial solutions of a class of singular semilinear elliptic equations" Journal of Differential Equations (2012)
Available at: http://works.bepress.com/yi_li/112/