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- W2022157955 abstract "In this paper, we consider the existence and multiplicity of solutions for p-Laplacian equation with electromagnetic fields and critical nonlinearity in ℝN: − ε p Δ p , A u + V ( x ) u p − 2 u = u p * − 2 u + h ( x , u p ) u p − 2 u for x ∈ ℝN, where Δ p , A u ( x ) ≔ div ( ∇ u + i A ( x ) u p − 2 ( ∇ u + i A ( x ) u ) . By using Lions’ second concentration compactness principle and concentration compactness principle at infinity to prove that the (PS)c condition holds locally and by variational method, we show that this equation has at least one solution provided that ε < E , for any m ∈ ℕ, it has m pairs of solutions if ε < E m , where E and E m are sufficiently small positive numbers." @default.
- W2022157955 created "2016-06-24" @default.
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- W2022157955 date "2015-04-01" @default.
- W2022157955 modified "2023-09-26" @default.
- W2022157955 title "On some<i>p</i>-Laplacian equation with electromagnetic fields and critical nonlinearity in ℝ<sup><i>N</i></sup>" @default.
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- W2022157955 doi "https://doi.org/10.1063/1.4918791" @default.
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