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Mathematics > Analysis of PDEs

arXiv:0710.0129 (math)
[Submitted on 30 Sep 2007 (v1), last revised 2 Oct 2010 (this version, v3)]

Title:Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds

Authors:Mohammed Benalili
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Abstract:This paper deals with a fourth order elliptic equation on compact Riemannian this http URL establish the existence of solutions to the equation with critical Sobolev growth which is the subject of the first theorem. In the second one, we prove the multiplicity of solutions in the subcritical case.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 58J05
Cite as: arXiv:0710.0129 [math.AP]
  (or arXiv:0710.0129v3 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.0710.0129

Submission history

From: Mohammed Benalili [view email]
[v1] Sun, 30 Sep 2007 12:31:06 UTC (13 KB)
[v2] Mon, 26 Nov 2007 10:20:06 UTC (14 KB)
[v3] Sat, 2 Oct 2010 20:32:37 UTC (17 KB)
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