Abstract
This work is concerned with existence, multiplicity and concentration of positive solutions for the following class of quasilinear problems
where \(\Phi (t)=\int _0^{|t|}\phi (s)sds\) is a N-function, \(\Delta _{\Phi }\) is the \(\Phi\)-Laplacian operator, \(\varepsilon\) is a positive parameter, \(V:{\mathbb {R}}^N\rightarrow {\mathbb {R}}\) is a continuous function and \(f:{\mathbb {R}}\rightarrow {\mathbb {R}}\) is a \(C^1\)-function.
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I would like to thank the anonymous referees for their careful reading and helpful suggestions which led to a substantial improvement of the original manuscript.
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Ait-Mahiout, K. Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz–Sobolev spaces without Ambrosetti–Rabinowitz condition via penalization method. J Elliptic Parabol Equ 6, 473–506 (2020). https://doi.org/10.1007/s41808-020-00054-0
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DOI: https://doi.org/10.1007/s41808-020-00054-0