TY - JOUR
T1 - On a Class of Neumann Boundary Value Equations Driven by a (p<sub>1</sub>, , P<sub>n</sub>)-Laplacian Operator
AU - Afrouzi , G. A.
AU - Heidarkhani , S.
AU - Hadjian , A.
AU - Shakeri , S.
JO - Journal of Partial Differential Equations
VL - 1
SP - 21
EP - 31
PY - 2012
DA - 2012/03
SN - 25
DO - http://doi.org/10.4208/jpde.v25.n1.2
UR - https://global-sci.org/intro/article_detail/jpde/5172.html
KW - (p_1
KW - ...
KW - p_n)-Laplacian
KW - Neumann problem
KW - three solutions
KW - critical points
KW - multiplicity results
AB - <p>In this paper we prove the existence of an open interval (λ&#39; ,λ&quot;) for each λ in the interval a class of Neumann boundary value equations involving the (p_1,..., p_n)- Laplacian and depending on λ admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno [Topol. Methods Nonlinear Anal. [1] (2003) 93-103].</p>