Article ID Journal Published Year Pages File Type
842001 Nonlinear Analysis: Theory, Methods & Applications 2010 16 Pages PDF
Abstract

The existence of catΩ(Ω)catΩ(Ω) positive solutions for the pp-Laplacian system with convex and Sobolev critical nonlinearities is obtained by some standard variational methods, whose key is to construct homotopies between ΩΩ and levels of the functional Jλ,μJλ,μ, and some analytical techniques.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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