| Abstract: |
| A result will be presented on existence and concentration of positive solutions for a class of Kirchhoff-type equations on RN involving a potential function, a positive parameter and a non-linearity at critical growth. A basic idea underlying such singular perturbation problems is to obtain, under suitable conditions on the potential functions and the non-linearity, a localized bound state solution concentrating at a local minimum of the potential function as the parameter approaches zero. In particular, in our approach, a monotone-type conditions or the (AR) condition are not required. This is joint work with J. Zhang and J.M. do \`{O}. |
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