JournalszaaVol. 35, No. 4pp. 449–464

Two Non-Zero Solutions for Elliptic Dirichlet Problems

  • Gabriele Bonanno

    Università di Messina, Italy
  • Giuseppina D'Aguì

    Università di Messina, Italy
Two Non-Zero Solutions for Elliptic Dirichlet Problems cover

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Abstract

The aim of this note is to point out a two non-zero critical points theorem for di fferentiable functionals and, as an application, to obtain existence results of two positive solutions for elliptic Dirichlet problems by requiring, in particular, a suitable condition on the nonlinearity which is more general than the sublinearity at zero.

Cite this article

Gabriele Bonanno, Giuseppina D'Aguì, Two Non-Zero Solutions for Elliptic Dirichlet Problems. Z. Anal. Anwend. 35 (2016), no. 4, pp. 449–464

DOI 10.4171/ZAA/1573