New Positive Solutions of Nonlinear Elliptic PDEs

İNÇ M., Bouteraa N., AKINLAR M. A., Benaicha S., Chu Y., Weber G., ...Daha Fazla

APPLIED SCIENCES-BASEL, cilt.10, sa.14, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 14
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/app10144863
  • Dergi Adı: APPLIED SCIENCES-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Agricultural & Environmental Science Database, Applied Science & Technology Source, Communication Abstracts, INSPEC, Metadex, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: positive (global) solution, (strict) upper and lower solutions, multiplicity of positive solutions, elliptic BVPs, BOUNDARY-VALUE-PROBLEMS, ASYMPTOTIC-BEHAVIOR, KIRCHHOFF-TYPE, EXISTENCE, EQUATIONS
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs. For a second type of elliptic BVPs, we obtain conditions for existence and uniqueness of positive global solutions. We employ mathematical tools including strictly upper (SU) and strictly lower (SL) solutions, iterative sequence method and Amann theorem. We present our research findings in new original theorems. Finally, we summarize and indicate areas of future study and possible applications of the research work.