𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions

✍ Scribed by Tsung-Fang Wu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
253 KB
Volume
68
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Positive mountain pass solutions for a s
✍ G.A. Afrouzi; K.J. Brown πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 121 KB

We use the mountain pass theorem to study the existence and multiplicity of positive solutions of the generalisation of the well-known logistic equation -u = g(x)u(x)(1 -u(x)) with Dirichlet boundary conditions to the case where g changes sign.

The Nehari manifold for a class of conca
✍ S.H. Rasouli; G.A. Afrouzi πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 344 KB

The existence and multiplicity of weak solutions is established for a class of concave-convex elliptic systems of the form: R 2 \ {(0, 0)}, the weight m(x) is a positive bounded function and a(x), b(x) ∈ C (Ω) are functions which change sign in Ω. Our technical approach is based on the Nehari manifo

Existence of multiple positive solutions
✍ Guoying Yang; Mingxin Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 322 KB

A p-Laplacian system with Dirichlet boundary conditions is investigated. By analysis of the relationship between the Nehari manifold and fibering maps, we will show how the Nehari manifold changes as Ξ», Β΅ varies and try to establish the existence of multiple positive solutions.