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Existence and multiplicity of solutions to a p(x)-Laplacian equation with nonlinear boundary condition on unbounded domain
We study the existence and multiplicity of positive solutions for the nonlinear boundary value problems involving the p(x) -Laplacian of the formwhere Ω ⊂ R N is an unbounded domain with non-compact, smooth boundary Γ = ∂ Ω , p ∈ C 0,1 (Ω) and 1 < p -p(x) p …