Pointwise estimates in a class of fourth order nonlinear elliptic equations

DOI10.1007/BF00944964zbMath0635.35028MaRDI QIDQ1097402

Philip W. Schaefer

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

maximum principlebiharmonic equationsubharmonicLyapunov-like function

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (2)

Maximum principles for a fourth order equation from thin plate theory ⋮ MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS

Cites Work

• Unnamed Item
• Maximum principles and their applications
• Some remarks on maximum principles
• Maximum principles for solutions of some fourth-order elliptic equations
• Solution, Gradient, and Laplacian Bounds in Some Nonlinear Fourth Order Elliptic Equations
• A Maximum Principle for n-Metaharmonic Functions
• Certain Estimates for Solutions of Nonlinear Elliptic Differential Equations Applicable to the Theory of Thin Plates
• On a maximum principle for a class of fourth-order semilinear elliptic equations
• Liouville theorems for elliptic systems and nonlinear equations of fourth order

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