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Positive solutions of elliptic operators in unbounded domains

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Publication:1161667
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DOI10.1016/0022-247X(81)90174-8zbMath0479.35031MaRDI QIDQ1161667

Walter Allegretto

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

negative spectrumnon-oscillationformal symmetric elliptic expressionunbounded domain with smooth boundary


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)


Related Items

Positive solutions and spectral properties of weakly coupled elliptic systems, Criticality and the \(\lambda\)-property for elliptic equations, On positive \(L^{\infty}\) solutions of a class of elliptic systems



Cites Work

  • Positive solutions and spectral properties of second order elliptic operators
  • A conjecture of Glazman
  • Positive solutions of elliptic equations
  • Spectral Estimates and Oscillation of Singular Differential Operators
  • A Remark on a Comparison Theorem of Swanson
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