On a class of nonlocal elliptic problems with critical growth

C. O. Alves, Francisco Julio S.A. Corrêa, Giovany M. Figueiredo
2010 Differential Equations & Applications  
This paper is concerned with the existence of positive solutions to the class of nonlocal boundary value problems of the Kirchhoff type where Ω ⊂ R N , for N=1,2 and 3, is a bounded smooth domain, M and f are continuous functions and λ is a positive parameter. Our approach is based on the variational method. Mathematics subject classification (2010): 34B18, 34C11, 34K12, 35J25, 45M20.
doi:10.7153/dea-02-25 fatcat:zy46olb7ynd7hfkz44pujlzvv4