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Critical sobolev exponent problem in ℝn(n≥ 4) with neumann boundary condition

✍ Scribed by Adimurthi; S. L. Yadava


Book ID
112906374
Publisher
Indian Academy of Sciences
Year
1990
Tongue
English
Weight
312 KB
Volume
100
Category
Article
ISSN
0253-4142

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Positive solutions for elliptic equation
✍ Pigong Han; Zhaoxia Liu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 216 KB

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.