Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics


Mashiyev R. A. , Alisoy G., Ogras S.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.31, ss.247-254, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10483-010-0212-6
  • Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Sayfa Sayıları: ss.247-254

Özet

In this article, we study a semilinear p-Laplacian Dirichlet problem arising in population dynamics. We obtain the Morse critical groups at zero. The results show that the energy functional of the problem is trivial. As a consequence, the existence and bifurcation of the nontrivial solutions to the problem are established.