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An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group.
- Source :
-
Boundary Value Problems . 4/7/2021, Vol. 2021 Issue 1, p1-9. 9p. - Publication Year :
- 2021
-
Abstract
- The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n . We first derive a critical inequality in H n . Based on it, we establish a Picone-type differential inequality and a Sturm-type comparison principle. Then we obtain an oscillation theorem. Our result generalizes the related conclusions for the nonlinear elliptic equations in R n . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 149691832
- Full Text :
- https://doi.org/10.1186/s13661-021-01516-7