Elliptic equations, principal eigenvalue and dependence on the domain

DOI10.1080/03605309608821213zbMath0857.35092OpenAlexW1967395294MaRDI QIDQ4887938

José M. Arrieta

Publication date: 23 July 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821213

zbMATH Keywords

sign of principal eigenvaluespace of open sets

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15)

Related Items

Local and global uniform convergence for elliptic problems on varying domains, Regularity in capacity and the Dirichlet Laplacian, Embeddings, immersions and the Bartnik quasi-local mass conjectures, Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: Nondivergence case, Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations, First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs, Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains

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