Journal article
CLASSIFICATION OF POSITIVE SOLUTIONS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS
Communications on pure and applied analysis, Vol.20(3), pp.1241-1261
03/01/2021
DOI: 10.3934/cpaa.2021019
Abstract
In this paper, we consider the positive viscosity solutions for certain fully nonlinear uniformly elliptic equations in unbounded cylinder with zero boundary condition. After establishing an Aleksandrov-Bakelman-Pucci maximum principle, we classify all positive solutions as three categories in unbounded cylinder. Two special solution spaces (exponential growth at one end and exponential decay at the another) are one dimensional, independently, while solutions in the third solution space can be controlled by the solutions in the other two special solution spaces under some conditions, respectively.
Details
- Title: Subtitle
- CLASSIFICATION OF POSITIVE SOLUTIONS FOR FULLY NONLINEAR ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS
- Creators
- Lidan Wang - Shanghai Jiao Tong UniversityLihe Wang - Shanghai Jiao Tong UniversityChunqin Zhou - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Communications on pure and applied analysis, Vol.20(3), pp.1241-1261
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- DOI
- 10.3934/cpaa.2021019
- ISSN
- 1534-0392
- eISSN
- 1553-5258
- Number of pages
- 21
- Grant note
- 11771285; 12031012 / NSFC; National Natural Science Foundation of China (NSFC)
- Language
- English
- Date published
- 03/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240771802771
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