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arXiv · 1703.04050

Eigenvalues of the negative $(p,q)$-Laplacian under a Steklov-like boundary condition

Luminita Barbu·Gheorghe Morosanu
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Abstract

In this paper we consider in a bounded domain $\Omega \subset \mathbb{R}^N$ with smooth boundary an eigenvalue problem for the negative $(p,q)$-Laplacian with a Steklov type boundary condition, where $p\in (1,\infty)$, $q\in (2,\infty)$ and $p\neq q$. A full description of the set of eigenvalues of this problem is provided, thus essentially extending a recent result by Abreu and Madeira [1] related to the $(p,2)$-Laplacian.

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Luminita Barbu, Gheorghe Morosanu. 2017-03-12. Eigenvalues of the negative $(p,q)$-Laplacian under a Steklov-like boundary condition. https://arxiv.org/abs/1703.04050

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