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.