MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
The exponential growth and decay properties for solutions to elliptic equations in unbounded cylinders
Lidan Wang, Lihe Wang and Chunqin ZhouAbstract
In this paper, we classify all solutions bounded from below to uniformly elliptic equations of second order in unbounded cylinders. After establishing that the Aleksandrov maximum principle and boundary Harnack inequality hold for bounded solutions, we show that all solutions bounded from below are linear combinations of solutions, which are sums of two special solutions that exponential growth at one end and exponential decay at the another end, and a bounded solution that corresponds to the inhomogeneous term
- Received:
- 29.08.19
- Published:
- 02.09.19
- MSC Codes:
- 36J65