On a subharmonic functional in fourth order nonlinear elliptic problems

DOI10.1016/0022-247X(81)90243-2zbMath0493.35042MaRDI QIDQ1168497

Philip W. Schaefer, Vinod B. Goyal

Publication date: 1981

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

zbMATH Keywords

semilinear elliptic equationfourth ordernon existence

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50) Variational methods for higher-order elliptic equations (35J35)

Related Items

On the development of functionals which satisfy a maximum principle, Maximum principles and bounds for a class of fourth order nonlinear elliptic equations, Maximum principles for a fourth order equation from thin plate theory, On a subharmonic functional of some even order elliptic problems, EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM

Cites Work

• Some remarks on maximum principles
• Uniqueness in some higher order elliptic boundary value problems
• Maximum principles for a certain class of semi-linear elliptic partial differential equations
• Maximum principles for solutions of some fourth-order elliptic equations
• 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