A one-dimensional nonlinear degenerate elliptic equation

We study the one-dimensional version of the Euler-Lagrange equation associated to finding the best constant in the Caffarelli-Kohn-Nirenberg inequalities. We give a complete description of all non-negative solutions which exist in a suitable weighted Sobolev space ${cal D}_a^{1,2}(Omega)$. Using the...

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Bibliographic Details
Main Authors: Florin Catrina, Zhi-Qiang Wang
Format: Article
Language:English
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/c3/abstr.html