A comparison principle for a class of fourth-order elliptic operators

DOI10.1016/0022-247X(87)90201-0zbMath0634.35006MaRDI QIDQ1096774

Chris Cosner, Philip W. Schaefer

Publication date: 1987

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

zbMATH Keywords

Dynamical systemsMathematical physicselliptic inequalitiesComparison theoremsCollection of articlesfourth order semilinearKishinevSibirskij, K. S. (ed.)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Higher-order elliptic equations (35J30)

Related Items (7)

Positive solutions for biharmonic equations: existence, uniqueness and multiplicity ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ Sign-definite solutions in some linear elliptic systems ⋮ On fourth-order elliptic boundary value problems with nonmonotone nonlinear function ⋮ Nonlinear fourth-order elliptic equations with nonlocal boundary conditions

Cites Work

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• A generalization of Sturm's comparison theorem
• Comparison theorems for a class of nonlinear elliptic boundary value problems
• The Oscillation of Elliptic Systems
• Sturmian theorems for a class of elliptic equations of order 4m
• Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations
• On the mean value of the fundamental mode in the fixed membrane problem

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