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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15330/cmp.12.1.208-228
  • Dergi Adı: CARPATHIAN MATHEMATICAL PUBLICATIONS
  • Sayfa Sayıları: ss.208-228

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.