Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems (Q921238)

From MaRDI portal





scientific article; zbMATH DE number 4165435
Language Label Description Also known as
English
Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems
scientific article; zbMATH DE number 4165435

    Statements

    Maximum principles for functionals associated with the solution of semilinear elliptic boundary value problems (English)
    0 references
    1989
    0 references
    Gradient bounds for the solutions of quasilinear elliptic Dirichlet problems are derived by means of a maximum principle. Numerical results for the maximum stress in the Saint-Venant torsion problem are then discussed. The author improves the known bounds of Payne, Sperb and Schaefer for certain domains in the plane.
    0 references
    Gradient bounds
    0 references
    Dirichlet problems
    0 references
    maximum stress
    0 references
    Saint-Venant torsion problem
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references