BooksStandalone TitlesCollected Volumepp. 257–265

Symmetry of entire solutions for a class of semilinear elliptic equations

  • Ovidiu Savin

    Columbia University, New York, United States
Symmetry of entire solutions for a class of semilinear elliptic equations cover
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Abstract

We discuss a conjecture of De Giorgi concerning the one dimensional symmetry of bounded, monotone in one direction, solutions of semilinear elliptic equations of the form ∆_u_ = W'(u) in all ℝ_n_.