Positive solutions and spectral properties of second order elliptic operators

DOI10.2140/pjm.1981.92.15zbMath0421.35063OpenAlexW1977841712MaRDI QIDQ1133065

Walter Allegretto

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.92.15

zbMATH Keywords

negative spectrumelliptic operatorsecond order elliptic expressionpositive generalized solution

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 (10)

Positive solutions and spectral properties of weakly coupled elliptic systems ⋮ On the connection between Schrödinger and Dirichlet forms ⋮ Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\) ⋮ Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms ⋮ Positive solutions of elliptic operators in unbounded domains ⋮ Sturmian Theorems for Second Order Systems ⋮ Schrödinger operators in the twentieth century ⋮ Schrödinger semigroups ⋮ Eigenvalues Below the Essential Spectra of Singular Elliptic Operators ⋮ Remarks on virtual bound states for semi—bounded operators

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