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Algebra i Analiz, 2024, Volume 36, Issue 1, Pages 170–194 (Mi aa1904)  
Research Papers

Hölder estimate for solutions of divergence type elliptic equation on a stratified set

K. V. Medvedeva, A. I. Nazarovb

a St. Petersburg State University, Mathematics and Mechanics Faculty
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider a uniformly elliptic second-order divergence type equation on a "$3$-floored" stratified sets under the $2$-connectedness assumption. For a generalized solution of the simplest equation without the lower-order terms, the a priori Hölder estimate was obtained.
Keywords: divergence type elliptic equation, stratified set, generalized solution, Hölder estimate.
Funding agency Grant number
Russian Science Foundation 22-21-00027
Received: 23.10.2023
Document Type: Article
Language: Russian
Citation: K. V. Medvedev, A. I. Nazarov, “Hölder estimate for solutions of divergence type elliptic equation on a stratified set”, Algebra i Analiz, 36:1 (2024), 170–194
Citation in format AMSBIB
\Bibitem{MedNaz24}
\by K.~V.~Medvedev, A.~I.~Nazarov
\paper H\"older estimate for solutions of divergence type elliptic equation on a stratified set
\jour Algebra i Analiz
\yr 2024
\vol 36
\issue 1
\pages 170--194
\mathnet{http://mi.mathnet.ru/aa1904}
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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