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Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure

✍ Scribed by Bernicot, Frédéric; Sire, Yannick


Book ID
121208744
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
286 KB
Volume
30
Category
Article
ISSN
0294-1449

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On the Number and Structure of Solutions
✍ Peter Takác 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We investigate the existence and multiplicity of weak solutions u 2 W 1;p 0 ðOÞ to the degenerate quasilinear Dirichlet boundary value problem where z 2 R is a parameter. It is assumed that 1opo1; p=2; and O is a bounded domain in R N : The number l 1 stands for the first (smallest) eigenvalue of t