Opuscula Mathematica
Opuscula Math. 40, no. 1 (2020), 37-47

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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About the authors ▼
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
About the article ▼
Communicated by P.A. Cojuhari.
Received: 2020-01-02.
Revised: 2020-01-28.
Accepted: 2020-01-28.
Published online: 2020-02-17.
Cite this article as ▼
Michał Bełdziński, Marek Galewski, On solvability of elliptic boundary value problems via global invertibility, Opuscula Math. 40, no. 1 (2020), 37-47, https://doi.org/10.7494/OpMath.2020.40.1.37.
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