CERTAIN RESULTS FOR A CLASS OF NONLINEAR FUNCTIONAL SPACES

Soltanov K., Sert U.

CARPATHIAN MATHEMATICAL PUBLICATIONS, cilt.12, sa.1, ss.208-228, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15330/cmp.12.1.208-228
  • Dergi Adı: CARPATHIAN MATHEMATICAL PUBLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.208-228
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this article, we study properties of a class of functional spaces, so-called pn-spaces, which arise from investigation of nonlinear differential equations. We establish some integral inequalities to analyse the structures of the pn-spaces with the constant and variable exponent. We prove embedding theorems, which indicate the relation of these spaces with the well known classical Lebesgue and Sobolev spaces with the constant and variable exponents.