On the convexity of the sum of the first eigenvalues of operators depending on a real parameter

DOI10.1007/BF00955623zbMath0488.47001MaRDI QIDQ1166079

Miriam Bareket

Publication date: 1981

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

convexityquadratic formsboundary value problems for partial differential equationsconvexity of the sum of the first eigenvalues of operators depending on a real parameter

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Related Items

Concavity and convexity of eigenvalues, Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one, Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation

Cites Work

• On the number of negative eigenvalues of a certain type of selfadjoint elliptic operators
• Convexity of functionals by transplantation
• An eigenvalue problem related to sound propagation in elastic tubes
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