On a maximum principle for a class of fourth-order semilinear elliptic equations

DOI10.1017/S0308210500025233zbMath0398.35036MaRDI QIDQ4183098

Philip W. Schaefer

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Maximum PrincipleFourth-Order Semilinear Elliptic Equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Pointwise estimates in a class of fourth order nonlinear elliptic equations, Maximum principles and bounds for a class of fourth order nonlinear elliptic equations, On a subharmonic functional in fourth order nonlinear elliptic problems, Maximum principles for a fourth order equation from thin plate theory, Maximum principles for elliptic systems, Integral bounds for von Kármán's equations, EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM, Uniqueness in some higher order elliptic boundary value problems, Unnamed Item

Cites Work

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• Positive solutions of nonlinear elliptic boundary value problems
• Certain Estimates for Solutions of Nonlinear Elliptic Differential Equations Applicable to the Theory of Thin Plates
• Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems
• Some Isoperimetric Inequalities for Harmonic Functions