On the location of maxima of the gradient for solutions to quasilinear elliptic problems and a problem raised by Saint Venant

DOI10.1007/BF00049452zbMath0624.73011MaRDI QIDQ578971

Bernhard Kawohl

Publication date: 1987

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

counterexamplesquasilinear elliptic problemslocation of fail pointsSaint Venant torsion problem

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (10)

On a counterexample to a conjecture of saint Venant ⋮ Asymptotic spherical symmetry of the free boundary in degenerate diffusion equations ⋮ Calculation of the boundary derivatives of the solutions of the first and second boundary-value problems for Poisson's equation ⋮ On examples to a conjecture of de Saint Venant ⋮ The infinity-Laplacian in smooth convex domains and in a square ⋮ A counterexample with convex domain to a conjecture of De Saint Venant ⋮ Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems ⋮ Partially overdetermined elliptic boundary value problems ⋮ On a counterexample to a conjecture of Saint Venant ⋮ Towards optimal gradient bounds for the torsion function in the plane

Cites Work

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• The normal dervative of the double layer potential on polygons and galerkin approximation
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Eine Abschätzung für quadratische Formen

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