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Existence of multiple positive solutions for a -Laplacian system with critical nonlinearities

✍ Scribed by Yin, Honghui


Book ID
122552587
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
432 KB
Volume
403
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


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.

Multiple positive solutions for a critic
✍ Tsing-San Hsu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 629 KB

In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.