On Green's function and eigenvalues of nonuniformly elliptic boundary value problems

DOI10.1007/BF01179752zbMath0489.35060MaRDI QIDQ1166719

Victor J. Mizel, Morel M. Marcus, Charles V. Coffman

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173286

zbMATH Keywords

Green operatornot necessarily symmetric non-uniformly elliptic divergence form operatorspositive first eigenfunctionsimple first eigenvaluetheorem of Jentzsch

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Integral representations of solutions to PDEs (35C15) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• On the first eigenvalue of non-uniformly elliptic boundary value problems
• Obtuse cones in Hilbert spaces and applications to partial differential equations
• Positivity of weak solutions of non-uniformly elliptic equations
• Boundary value problems for nonuniformly elliptic equations with measurable coefficients
• On the positivity of weak supersolutions of non-uniformly elliptic equations
• Integration and Linear Operations

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