Refined asymptotics for eigenvalues on domains of infinite measure |
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Authors: | Juliá n Ferná ndez Bonder,Juan Pablo Pinasco,Ariel M. Salort |
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Affiliation: | Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina |
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Abstract: | In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded two-dimensional domains. |
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Keywords: | p-Laplace operator Lattice points Eigenvalues |
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