A counterexample with convex domain to a conjecture of De Saint Venant

DOI10.1007/BF00055334zbMath0693.73005OpenAlexW2073219962WikidataQ123336061 ScholiaQ123336061MaRDI QIDQ908733

Guido Sweers

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00055334

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Nonlinear elliptic equations (35J60) Elastic materials (74B99)

Related Items (4)

On a counterexample to a conjecture of saint Venant ⋮ On examples to a conjecture of de Saint Venant ⋮ On a counterexample to a conjecture of Saint Venant ⋮ Towards optimal gradient bounds for the torsion function in the plane

Cites Work

• On the location of maxima of the gradient for solutions to quasilinear elliptic problems and a problem raised by Saint Venant
• Solution of Dirichlet's problem for the equation \(\Delta u = -1\) in a convex region
• Elliptic Partial Differential Equations of Second Order

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