Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions

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Volume 8, Issue 3

Asadollah Aghajani, Farajollah Mohammadi Yaghoobi, and Jamileh Shamshiri

J. Info. Comput. Sci. , 8 (2013), pp. 173-182.

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Abstract

In this paper, we deal with the existence and multiplicity of positive weak solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions. By extracting the Palais- Smale sequences in the Nehari manifold and using the fibering maps, it is proved that there exists (cid:2019)∗ such that for λ ∈ (0, λ∗), the given boundary value problem has at least two positive solutions.

Keywords

critical point, quasilinear p-Laplacian problem, nonlinear boundary value problem, fibering map, Nehari manifold.

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@Article{JICS-8-173, author = {Asadollah Aghajani, Farajollah Mohammadi Yaghoobi, and Jamileh Shamshiri}, title = {Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions}, journal = {Journal of Information and Computing Science}, year = {2013}, volume = {8}, number = {3}, pages = {173--182}, abstract = {In this paper, we deal with the existence and multiplicity of positive weak solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions. By extracting the Palais- Smale sequences in the Nehari manifold and using the fibering maps, it is proved that there exists (cid:2019)∗ such that for λ ∈ (0, λ∗), the given boundary value problem has at least two positive solutions. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22610.html} }

TY - JOUR T1 - Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions AU - Asadollah Aghajani, Farajollah Mohammadi Yaghoobi, and Jamileh Shamshiri JO - Journal of Information and Computing Science VL - 3 SP - 173 EP - 182 PY - 2013 DA - 2013/09 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22610.html KW - critical point, quasilinear p-Laplacian problem, nonlinear boundary value problem, fibering map, Nehari manifold. AB - In this paper, we deal with the existence and multiplicity of positive weak solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions. By extracting the Palais- Smale sequences in the Nehari manifold and using the fibering maps, it is proved that there exists (cid:2019)∗ such that for λ ∈ (0, λ∗), the given boundary value problem has at least two positive solutions.

Asadollah Aghajani, Farajollah Mohammadi Yaghoobi, and Jamileh Shamshiri. (2013). Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions. Journal of Information and Computing Science. 8 (3). 173-182. doi:

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