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Constant Sign Solutions for Variable Exponent System Neumann Boundary Value Problems with Singular Coefficient
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We deal with the existence of constant sign solutions for the following variable exponent system Neumann boundary value problem: - div ( | ∇ u | p ( x ) - 2 ∇ u ) + λ | u | p ( x ) - 2 u = F u ( x , u , v ) in Ω , - div ( | ∇ v | q ( x ) - 2 ∇ v ) + λ | v | q ( x ) - 2 v = F v ( x , u , v ) in Ω , ∂ u / ∂ γ = 0 = ∂ v / ∂ γ on ∂ Ω .
We give several sufficient conditions for the existence of the constant sign solutions, when F ( x , · , · ) satisfies neither sub-( p ( x ) , q ( x ) ) growth condition, nor Ambrosetti-Rabinowitz condition (subcritical).
In particular, we obtain the existence of eight constant sign solutions.
American Psychological Association (APA)
Wu, Xianbin. 2014. Constant Sign Solutions for Variable Exponent System Neumann Boundary Value Problems with Singular Coefficient. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013847
Modern Language Association (MLA)
Wu, Xianbin. Constant Sign Solutions for Variable Exponent System Neumann Boundary Value Problems with Singular Coefficient. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013847
American Medical Association (AMA)
Wu, Xianbin. Constant Sign Solutions for Variable Exponent System Neumann Boundary Value Problems with Singular Coefficient. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013847