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On a Critical Exponential p & N Equation Type: Existence and Concentration of Changing Solutions by Gustavo S. Costa; Giovany M. Figueiredo is a scholarly article available to read on EtoBox.

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In this paper we study a class of quasilinear equation with exponential critical growth. More precisely, we show existence of a family of nodal solutions, i.e, sign-changing solutions for the problem Such nodal solutions concentrate on the minimum points set of the potential V , changes sign exactly once in R N and have exponential decay at infinity. Here we use variational methods and Del Pino and Felmer's technique (Del Pino and Felmer 1996) in order to overcome the lack of compactness.

Author

Gustavo S. Costa; Giovany M. Figueiredo

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN