Multiplicity and concentration of positive solutions for a class of quasilinear problems through OrliczSobolev space
Abstract
In this work, we study existence, multiplicity, and concentration of positive solutions for the following class of quasilinear problems  _{∆ Φ} u + V ( ∊ x ) ϕ ( " separators=" u  ) u = f ( u ) in ^{R N} ( N ≥ 2 ) , where Φ ( t ) = _{∫}^{0 " separators=" t } ϕ ( s ) s d s is a Nfunction, ∆_{Φ} is the ΦLaplacian operator, ∊ is a positive parameter, V : &R;^{N} → &R; is a continuous function, and f : &R; → &R; is a C^{1}function.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 November 2016
 DOI:
 10.1063/1.4966534
 arXiv:
 arXiv:1506.01669
 Bibcode:
 2016JMP....57k1502A
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 doi:10.1063/1.4966534