Critical exponents and Pohozhaev identities of some partial differential equations

Critical exponents and Pohozhaev identities of some partial differential equations

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Article ID: iaor20131392
Volume: 57
Issue: 5-6
Start Page Number: 1426
End Page Number: 1435
Publication Date: Mar 2013
Journal: Mathematical and Computer Modelling
Authors: ,
Keywords: differential equations
Abstract:

By adopting the theory of Lie symmetry and Noether theorem, we investigate critical exponents and Pohozhaev identities of partial differential equation systems which was brought up to address the problem of finding the best constant in the weighted Hardy–Littlewood–Sobolev inequality.

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