Doubly nonlinear parabolic equations with Robin boundary conditions

KÖMBE İ., Balekoğlu R. T.

Mathematical Methods in the Applied Sciences, cilt.45, sa.16, ss.9386-9395, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 16
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8312
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.9386-9395
  • Anahtar Kelimeler: doubly nonlinear parabolic equations, positive solutions, Robin boundary condition
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this article, we consider the nonlinear problem (Formula presented.) where (Formula presented.) is the doubly nonlinear operator. Here, (Formula presented.) is a bounded domain with smooth boundary, (Formula presented.) and (Formula presented.). We establish some sufficient conditions on the functions (Formula presented.), and the exponents (Formula presented.) and (Formula presented.), so that the above problem has no positive solutions. Furthermore, various concrete potentials (Formula presented.) are taken into account to demonstrate applications of our main result.