Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz–Sobolev spaces without Ambrosetti–Rabinowitz condition via penalization method-Reference-Cited by-同舟云学术

Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz–Sobolev spaces without Ambrosetti–Rabinowitz condition via penalization method

Published:2020-03-11 Issue:2 Volume:6 Page:473-506
ISSN:2296-9020
Container-title:Journal of Elliptic and Parabolic Equations
language:en
Short-container-title:J Elliptic Parabol Equ

Author:

Ait-Mahiout K.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s41808-020-00054-0.pdf

Reference39 articles.

1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces. Elsevier/Academic, Amsterdam (2003)

2. Ait-Mahiout, K., Alves, C.O.: Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz–Sobolev spaces. Complexe Var. Eliptic Equ. 62, 767–785 (2017). https://doi.org/10.1080/17476933.2016.1243669

3. Ait-Mahiout, K., Alves, C.O.: Multiple solutions for a class of quasilinear problems in Orlicz–Sobolev spaces. Asymptot. Anal. 104, 49–66 (2017). https://doi.org/10.3233/ASY-171428

4. Ait-Mahiout, K., Alves, C.O.: Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz–Sobolev spaces without the Ambrosetti–Rabinowitz condition. J. Elliptic Parabol. Equ. 4, 389 (2018)

5. Alves, C.O., da Silva, A.R.: Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz–Sobolev space. J. Math. Phys. 57, 111502 (2016). https://doi.org/10.1063/1.4966534

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