Full description of the eigenvalue set of the (p,q)-Laplacian with a Steklov-like boundary condition

2020/10/25 by Luminiţa Barbu, Barbu, Luminiţa, Gheorghe Moroşanu +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2010.14070

Abstract

In this paper we consider in a bounded domain Ω⊂ ℝ^N with smooth boundary an eigenvalue problem for the negative (p,q)-Laplacian with a Steklov-like boundary condition, where p, q∈ (1,∞), p≠ q, including the open case p∈ (1,∞), q∈ (1, 2), p≠ q. A full description of the set of eigenvalues of this problem is provided. Our results complement those previously obtained by Abreu and Madeira \citeAM, Barbu and Moroşanu \citeBM, Fărcăşeanu, Mihăilescu and Stancu-Dumitru \citeFMS, Mihăilescu \citeMMih, Mihăilescu and Moroşanu \citeMM.

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