The existence of a symmetric global minimizer on \(\mathbb{R}^{n-1}\) implies the existence of a counter-example to a conjecture of De Giorgi in \(\mathbb{R}^n\) (Q2761867)

From MaRDI portal





scientific article; zbMATH DE number 1686426
Language Label Description Also known as
English
The existence of a symmetric global minimizer on \(\mathbb{R}^{n-1}\) implies the existence of a counter-example to a conjecture of De Giorgi in \(\mathbb{R}^n\)
scientific article; zbMATH DE number 1686426

    Statements

    6 February 2003
    0 references
    semilinear elliptic equations
    0 references
    nontrivial monotone solutions
    0 references
    nonplanar monotone solution
    0 references
    0 references
    0 references
    The existence of a symmetric global minimizer on \(\mathbb{R}^{n-1}\) implies the existence of a counter-example to a conjecture of De Giorgi in \(\mathbb{R}^n\) (English)
    0 references

    Identifiers