Abstract
Consider the equation −M(x,‖u‖)Δpu=λf(x,u,∇u)−g(x,u,∇u) in Ω, u=0 on ∂Ω. The main aim of this paper is to prove existence results for both non-degenerate and degenerate cases of the function M. Our approach relies on the fixed point index and the cone theoretic argument.
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