On the spectrum of a nontypical eigenvalue problem

Mihai Mihăilescu, Denisa Stancu‐Dumitru · Electronic journal of qualitative theory of differential equations · 2018

We study a nontypical eigenvalue problem in a bounded domain from the Euclidian space $\mathbb{R}^2$ subject to the homogeneous Dirichlet boundary condition. We show that the spectrum of the problem contains two distinct intervals separated by an interval where there are no other eigenvalues.

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