On the first eigenvalue of non-uniformly elliptic boundary value problems

DOI10.1007/BF01161411zbMath0439.35053MaRDI QIDQ1142366

Neil S. Trudinger

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/173009

zbMATH Keywords

Dirichlet problemminimum eigenvaluegeneralized maximum principlegeneralized mixed boundary value problemnon-uniformly elliptic operatorspositivity of supersolutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (3)

POSITIVE COMPACT OPERATORS ⋮ On Green's function and eigenvalues of nonuniformly elliptic boundary value problems ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity

Cites Work

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• Positivity of weak solutions of non-uniformly elliptic equations
• Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients
• Principio di massimo generalizzato e valutazione del primo autovalore per problemi ellittici del secondo ordine di tipo variazionale
• On the regularity of generalized solutions of linear, non-uniformly elliptic equations
• On the positivity of weak supersolutions of non-uniformly elliptic equations
• Elliptic Partial Differential Equations of Second Order

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