Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions
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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 = {2024},
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 = {1746-7659},
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 - 2024
DA - 2024/01
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. (2024). 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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