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A minimization problem involving a critical sobolev exponent and its related Euler-Lagrange equation

✍ Scribed by Yan Shusen; Li Gongbao


Book ID
104747448
Publisher
Springer
Year
1991
Tongue
English
Weight
557 KB
Volume
114
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES


Critical Dimension of a Hessian Equation
✍ Kai-Seng Chou; Di Geng; Shu-Sen Yan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 772 KB

Let S k ({ 2 u), 1 k<nΓ‚2, be the k th Hessian operator. We study the problem where #(k) is the critical exponent for S k and 0 is a ball. Results generalizing those obtained by Brezis Nirenberg for the special case k=1 are established. A discussion on the asymptotic behavior of solutions of the pro