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Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions

✍ Scribed by Pigong Han; Zhaoxia Liu

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 216 KB
Volume: 55
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00223-2

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✦ Synopsis

In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.

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