Institute of Mathematics and Informatics , Akademijos 4, Vilnius, 2600, Lithuania; Vilnius Pedagogical University , Studentu 39, Vilnius, 2034, Lithuania
The Dirichlet type problem for the weakly related elliptic systems of the second order degenerating at an inner point is discussed. Existence and uniqueness of the solution in the Holder class of the vector‐functions is proved.
Apie išsigimstančių vidiniame taške elipsinių sistemų klasės pirmajį uždavinį
Santrauka. Nagrinėjamas silpnai susietų antros eilės elipsinių lygčių, išsigimstančių vidiniame srities taške, Dirichle tipo uždavinys. Įrodyta šio uždavinio sprendinio egzistencija ir vienatis Hiolderio vektorių‐funkcijų klasėje.
Rutkauskas, S. (2001). On the first boundary value problem for the class of elliptic systems degenerating at an inner point. Mathematical Modelling and Analysis, 6(1), 147-155. https://doi.org/10.3846/13926292.2001.9637154
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
