EXISTENCE OF SOLUTIONS OF ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE INDICES OF NONLINEARITY IN [R.sup.n]

In this paper, we consider a certain class of anisotropic second-order elliptic equations of divergent type with variable indices of nonlinearities. We examine conditions of the solvability in the whole space [R.sup.n], n > 2. We prove the existence of solutions without restrictions to the growth...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 257; no. 1; pp. 48 - 60
Main Authors Kozhevnikova, L.M, Kamaletdinov, A.Sh
Format Journal Article
LanguageEnglish
Published Springer 04.08.2021
Subjects
Anisotropy
Online AccessGet full text
ISSN1072-3374
DOI10.1007/s10958-021-05469-1

Cover

More Information
Summary:In this paper, we consider a certain class of anisotropic second-order elliptic equations of divergent type with variable indices of nonlinearities. We examine conditions of the solvability in the whole space [R.sup.n], n > 2. We prove the existence of solutions without restrictions to the growth rate as |x| [right arrow] [infinity].
ISSN:1072-3374
DOI:10.1007/s10958-021-05469-1