Aprioribounds for a class of nonlinear elliptic equations and applications to physical problems

DOI10.1017/S0308210500017297zbMath0454.35020MaRDI QIDQ3901866

Catherine Bandle

Publication date: 1981

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

zbMATH Keywords

integral equationa priori boundsisoperimetric inequalitiesupper and lower boundselliptic equationsGelfand equationmathematical physicsnonlinear Dirichlet problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

Related Items (1)

Estimates for the boundary values of the solutions of certain nonlinear elliptic equations

Cites Work

• Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems
• Estimates for the Green’s Functions of Elliptic Operators
• Some problems in the theory of quasilinear equations
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item

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