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Equilibrium Problems with Applications to Eigenvalue Problems

✍ Scribed by O. Chadli; N.C. Wong; J.C. Yao


Book ID
110438415
Publisher
Springer
Year
2003
Tongue
English
Weight
131 KB
Volume
117
Category
Article
ISSN
0022-3239

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A Concentration-Compactness Lemma with A
✍ Didier Smets πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 177 KB

Let 0 R N be any open set. We study the nonlinear eigenvalue problem &2 p u =\*V(x) |u| p&2 u, u # D 1, p 0 (0), where 1<p<N and V # L 1 loc (0) may have strong singularities and an indefinite sign. The key ingredient is a precised concentrationcompactness lemma related to V-dependent limiting probl