TY - JOUR
AU - Soltanov, K.
AU - Sert, U.
PY - 2020/06/29
Y2 - 2020/09/20
TI - Certain results for a class of nonlinear functional spaces
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 12
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.12.1.208-228
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3906
SP - 208-228
AB - 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.
ER -