Principal eigenvalues and eigenfunctions to Lane-Emden systems on general bounded domains

We prove the existence of at least a curve of principal eigenvalues for two-parameter Lane-Emden systems under Dirichlet boundary conditions for general bounded domains. The nonhomogeneous counterpart is also addressed. Part of the main results (Theorems 1.1–1.3) are based on some deep ideas introdu...

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Bibliographic Details

Published in:	Israel journal of mathematics Vol. 259; no. 1; pp. 277 - 310
Main Authors:	Leite, Edir Junior Ferreira, Montenegro, Marcos
Format:	Journal Article
Language:	English
Published:	Jerusalem The Hebrew University Magnes Press 01.03.2024 Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Boundary conditions Eigenvalues Eigenvectors Group Theory and Generalizations Mathematical and Computational Physics Mathematics Mathematics and Statistics Theorems Theoretical
ISSN:	0021-2172, 1565-8511
Online Access:	Get full text
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