Comparison Results for Nonlinear Equations Involving A-Harmonic Operator

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Mısır A., Tiryaki A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.6, ss.4949-4959, 2016 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-016-0785-6
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4949-4959
  • Anahtar Kelimeler: A-harmonic operator, Finsler p-Laplacian, pseudo p-Laplacian, comparison theorems, Picone's identity, POSITIVE SOLUTIONS, IDENTITY
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we derive comparison theorems for a pair of nonlinear equations involving A-harmonic operator. In the special cases, our results give the well-known Leighton-type comparison results concerning the Finsler p-Laplacian, the p-Laplacian, and the pseudo p-Laplacian equations.