Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics

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Atıf İçin Kopyala

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

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.31, sa.2, ss.247-254, 2010 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31 Sayı: 2
• Basım Tarihi: 2010
• Doi Numarası: 10.1007/s10483-010-0212-6
• Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.247-254
• İnönü Üniversitesi Adresli: Evet

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.