On the Solution of the Navier Problem for the 3-Harmonic Equation in the Unit Ball
In this paper, based on a new representation of the Green’s function of the Navier problem for the 3-harmonic equation in the unit ball, an integral representation of the solution of the corresponding Navier problem is found. Then, for the Navier problem for a homogeneous 3-harmonic equation, the obtained representation of the solution is reduced to a form that does not explicitly contain the Green’s function.
Authors
- В. В. Карачик (ORCID: https://orcid.org/0000-0002-3077-3595)
Institutions
- South Ural State University (RU)
Publication Details
- Journal
- Mathematics
- Published
- 2025-05-15
- DOI
- https://doi.org/10.3390/math13101630
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00