Abstract
This paper investigates the problem { − Δ p ( x ) u + f ( x , u ) = 0 in Ω , u ( x ) → + ∞ as d ( x , ∂ Ω ) → 0 , where − Δ p ( x ) u = − div ( | ∇ u | p ( x ) − 2 ∇ u ) is called p ( x ) -Laplacian. The existence of blow-up solutions is discussed, and the singularity of blow-up solutions is given.
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