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Estimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient
- Source :
- Duke Mathematical Journal, Duke Mathematical Journal, Duke University Press, 2019, 168 (8), pp.1487-1537, Duke Math. J. 168, no. 8 (2019), 1487-1537
- Publication Year :
- 2019
- Publisher :
- HAL CCSD, 2019.
-
Abstract
- International audience; We study local and global properties of positive solutions of $-{\Delta}u=u^p]{\left |{\nabla u}\right |}^q$ in a domain ${\Omega}$ of ${\mathbb R}^N$, in the range $1
- Subjects :
- General Mathematics
010102 general mathematics
A domain
elliptic equations
35B08
gradient estimates
bifurcations
Bernstein methods
01 natural sciences
Omega
35J62
Combinatorics
35J62, 35B08, 68–04
Mathematics - Analysis of PDEs
0103 physical sciences
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
global solutions
010307 mathematical physics
Nabla symbol
0101 mathematics
Mathematics
Harnack's inequality
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 00127094
- Database :
- OpenAIRE
- Journal :
- Duke Mathematical Journal, Duke Mathematical Journal, Duke University Press, 2019, 168 (8), pp.1487-1537, Duke Math. J. 168, no. 8 (2019), 1487-1537
- Accession number :
- edsair.doi.dedup.....0a64379b25e52f63f4d098242c487c6c