On a Class of Neumann Boundary Value Equations Driven by a (p1,…,pn)-Laplacian Operator  

On a Class of Neumann Boundary Value Equations Driven by a (p1,…,pn)-Laplacian Operator

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作  者:AFROUZI G. A. HEIDARKHANI S. HADJIAN A. SHAKERI S. 

机构地区:[1]Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. [2]Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran.

出  处:《Journal of Partial Differential Equations》2012年第1期21-31,共11页偏微分方程(英文版)

摘  要:In this paper we prove the existence of an open interval (λ',λ') for each A in the interval a class of Neumann boundary value equations involving the (p1,…,pn)- Laplacian and depending on A admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno [Topo1. Methods Nonlinear Anal. [1] (2003) 93-103].

关 键 词:(p1   pn)-Laplacian Neumann problem three solutions critical points multiplicityresults. 

分 类 号:O175.25[理学—数学] O175.8[理学—基础数学]

 

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