On semilinear equations with free boundary conditions on stratified Lie groups
Abstract
In this paper we establish existence of a solution to a semilinear equation with free boundary conditions on stratified Lie groups. In the process, a monotonicity condition is proved, which is quintessential in establishing the regularity of the solution.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2022
- DOI:
- arXiv:
- arXiv:2209.06527
- Bibcode:
- 2022arXiv220906527C
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35J35;
- 35J60
- E-Print:
- J. Math. Anal. Appl. 518:1 (2023), art. 126677, 17 pp