Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem

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Abstract

An elementary existence proof based on variational and finite dimensional approximation methods is proposed for nontrivial solutions of the generalized prescribed mean curvature boundary value problem{(- div {[α (x) + | ∇ u |γ]frac(1, γ) - 1 | ∇ u |γ - 2 ∇ u} = f (x, u) in Ω,; u = 0 on ∂ Ω,) which has been studied otherwise by elaborated abstract theories. © 2008 Elsevier Inc. All rights reserved.

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APA

Le, V. K. (2009). Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem. Journal of Differential Equations, 246(9), 3559–3578. https://doi.org/10.1016/j.jde.2008.11.015

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