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- W2949276036 abstract "In this paper, we shall be concerned with the existence result of the following eigenvalue problem {−Δmu=−div(m(x,|∇u|)|∇u|∇u)=λρ(x)m(x,u) in Ωu∈W01LM(Ω), in an arbitrary Musielak–Orlicz Spaces, with an indefinite bounded weight ρ which changes sign, λ∈R and u∈W01LM(Ω) such that m(x,|∇u|)∈LM¯(Ω). We show that the existence of an eigenvalue can be derived from a generalized version of Lagrange multiplier rule without assuming any restriction on generalized N-function M." @default.
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- W2949276036 date "2019-06-19" @default.
- W2949276036 modified "2023-09-24" @default.
- W2949276036 title "Lagrange Multiplier Rule to a Nonlinear Eigenvalue Problem in Musielak–Orlicz Spaces" @default.
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- W2949276036 doi "https://doi.org/10.1080/01630563.2019.1615945" @default.
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