Existence of three solutions for a non-homogeneous Neumann problem through Orlicz–Sobolev spaces

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Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces (2012, background): “Ω Φ(|∇u(x)|)dx ≤ r, (6) it follows that ∥u∥ < 1; see, for instance, the recent paper [41] for a direct proof involving some properties of the Young function.”