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SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS

✍ Scribed by AZORERO, J. P. GARCÍA; ALONSO, I. PERAL; MANFREDI, JUAN J.


Book ID
121016258
Publisher
World Scientific Publishing Company
Year
2000
Tongue
English
Weight
324 KB
Volume
02
Category
Article
ISSN
0219-1997

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Best constants for supercritical Sobolev
✍ Dimitris Iliopoulos 📂 Article 📅 2000 🏛 Elsevier Science 🌐 French ⚖ 115 KB

Let Σ be the set of O(k) × O(m)-invariant functions on the unit sphere S n , k + m = n + 1, k m 2. We investigate the optimal value of the constant B in the inequality where u ∈ H q 1 (S n ) ∩ Σ and 1/p = 1/q -1/k. We then give an application to the existence of positive solutions to scalar curvatu