Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one

János Engländer, L. P. Simon

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article, we consider a semilinear elliptic equations of the form Δu + f(u) = 0, where / is a concave function. We prove for arbitrary dimensions that there is no solution bounded in (0, 1). The significance of this result in probability theory is also discussed.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalElectronic Journal of Differential Equations
Volume2006
Publication statusPublished - Jan 24 2006

Fingerprint

Concave function
Semilinear Elliptic Equations
Bounded Solutions
Probability Theory
Nonexistence
Arbitrary
Form

Keywords

  • Branching brownian-motion
  • Kpp-equation
  • Positive bounded solutions
  • Semilinear elliptic equations

ASJC Scopus subject areas

  • Analysis

Cite this

Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. / Engländer, János; Simon, L. P.

In: Electronic Journal of Differential Equations, Vol. 2006, 24.01.2006, p. 1-6.

Research output: Contribution to journalArticle

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