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2010 Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p ( x ) -Laplacian Equations with Exponential Nonlinearities
Li Yin, Yunrui Guo, Jing Yang, Bibo Lu, Qihu Zhang
Abstr. Appl. Anal. 2010: 1-20 (2010). DOI: 10.1155/2010/971268

Abstract

This paper investigates the following p ( x ) -Laplacian equations with exponential nonlinearities: - Δ p ( x ) u + ρ ( x ) e f ( x , u ) = 0 in Ω , u ( x ) + as ( x , Ω ) 0 , where - Δ p ( x ) u = - div ( | u | p ( x ) - 2 u ) is called p ( x ) -Laplacian, ρ ( x ) C ( Ω ) . The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.

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Li Yin. Yunrui Guo. Jing Yang. Bibo Lu. Qihu Zhang. "Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p ( x ) -Laplacian Equations with Exponential Nonlinearities." Abstr. Appl. Anal. 2010 1 - 20, 2010. https://doi.org/10.1155/2010/971268

Information

Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1216.35064
MathSciNet: MR2739687
Digital Object Identifier: 10.1155/2010/971268

Rights: Copyright © 2010 Hindawi

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