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On the simplicity and uniqueness of positive eigenvalues admitting positive eigenfunctions for weakly coupled elliptic systems

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Publication:1124040
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DOI10.1216/RMJ-1988-18-2-269zbMath0678.35023MaRDI QIDQ1124040

Robert Stephen Cantrell

Publication date: 1988

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

uniquenessclassical solutionspositive eigenfunctionssimplicitypositive eigenvaluesuniformly ellipticformally selfadjointweakly coupled linear system


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for elliptic systems (35J50)


Related Items (3)

On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems ⋮ A short note on the existence of nontrivial solutions to the vectorial equation in ⋮ Ergodic risk-sensitive control for regime-switching diffusions







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