Sharp nonlogarithmic Kneser theorems for fourth-order elliptic equations

DOI10.1016/0022-247X(85)90024-1zbMath0584.35003MaRDI QIDQ1070416

Velmer B. Headley

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nodal domainnonoscillation theoremslinear fourth-order elliptic partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Higher-order elliptic equations (35J30)

Related Items (3)

Sharp nonoscillation theorems for even-order elliptic equations ⋮ Weak and strong oscillation of even-order elliptic and ordinary differential equations ⋮ Nodal oscillation and weak oscillation of elliptic equations of order 2m

Cites Work

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• Comparison and existence theorems for multicomponent diffusion systems
• Nonlinear oscillation of a fourth order elliptic equation
• Nonoscillation criteria for fourth order elliptic equations
• A generalization of Sturm's comparison theorem
• A monotonicity principle for eigenvalues
• Elliptic equations of order 2m
• On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• A Kneser Theorem for Higher order Elliptic Equations
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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