Opuscula Math. 40, no. 1 (2020), 37-47
https://doi.org/10.7494/OpMath.2020.40.1.37
Opuscula Mathematica
On solvability of elliptic boundary value problems via global invertibility
Michał Bełdziński
Marek Galewski
Abstract. In this work we apply global invertibility result in order to examine the solvability of elliptic equations with both Neumann and Dirichlet boundary conditions.
Keywords: diffeomorphism, Dirichlet conditions, Laplace operator, Neumann conditions, uniqueness.
Mathematics Subject Classification: 35J60, 46T20, 47H30.
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- Michał Bełdziński
https://orcid.org/0000-0002-9653-612X- Lodz University of Technology, Institute of Mathematics, Wolczańska 215, 90-924 Łódź, Poland
- Marek Galewski (corresponding author)
- https://orcid.org/0000-0002-3224-2456
- Lodz University of Technology, Institute of Mathematics, Wolczańska 215, 90-924 Łódź, Poland
- Communicated by P.A. Cojuhari.
- Received: 2020-01-02.
- Revised: 2020-01-28.
- Accepted: 2020-01-28.
- Published online: 2020-02-17.
