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On the comparison principle for unbounded solutions of elliptic equations with first order terms.
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2018, Vol. 457 Issue 2, p1492-1501. 10p. - Publication Year :
- 2018
-
Abstract
- We prove a comparison principle for unbounded weak sub/super solutions of the equation λ u − div ( A ( x ) D u ) = H ( x , D u ) in Ω where A ( x ) is a bounded coercive matrix with measurable ingredients, λ ≥ 0 and ξ ↦ H ( x , ξ ) has a super linear growth and is convex at infinity. We improve earlier results where the convexity of H ( x , ⋅ ) was required to hold globally. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 457
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126165987
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.04.018