Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities
This paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: −Δp(x)u+ρ(x)ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −Δp(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 existenc...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/971268 |
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| Summary: | This paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: −Δp(x)u+ρ(x)ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −Δp(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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| ISSN: | 1085-3375 1687-0409 |