Multiple solutions for Neumann and periodic problems with singular φ-Laplacian

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Abstract

We use the critical point theory for convex, lower semicontinuous perturbations of C1-functionals to establish existence of multiple radial solutions for some one parameter Neumann problems involving the operator v→div(∇v/√1-|∇v|2). Similar results for periodic problems are also provided. © 2011 Elsevier Inc.

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Bereanu, C., Jebelean, P., & Mawhin, J. (2011). Multiple solutions for Neumann and periodic problems with singular φ-Laplacian. Journal of Functional Analysis, 261(11), 3226–3246. https://doi.org/10.1016/j.jfa.2011.07.027

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