Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems

DOI10.1007/BF00945009zbMath0709.35014MaRDI QIDQ921238

Jeffrey R. L. Webb

Publication date: 1989

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

zbMATH Keywords

Dirichlet problemsSaint-Venant torsion problemGradient boundsmaximum stress

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Linear elasticity with initial stresses (74B10) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items (1)

Optimal bounds in semilinear elliptic problems with nonlinear boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• On the location of maxima of the gradient for solutions to quasilinear elliptic problems and a problem raised by Saint Venant
• Maximum principles and their applications
• Maximum principles for some functionals associated with the solution of elliptic boundary value problems
• Isoperimetric Inequalities in the Torsion and Clamped Membrane Problems for Convex Plane Domains
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems