JournalsrlmVol. 31, No. 4pp. 939–969

Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity

  • Sergei A. Nazarov

    Institute for Problems of Mechanical Engineering RAS, St. Petersburg, Russian Federation

  • Jari Taskinen

    University of Helsinki, Finland
Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity cover
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Abstract

We construct ‘‘almost periodic’’ unbounded domains, where a large class of elliptic spectral problems have essential spectra possessing peculiar structure: they consist of monotone, non-negative sequences of isolated points and thus have infinitely many gaps.

Cite this article

Sergei A. Nazarov, Jari Taskinen, Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 939–969

DOI 10.4171/RLM/921