On the local boundedness of solutions to the equation \(- \Delta u + a \partial_z u = 0\)

DOI10.1007/s10958-024-07310-xzbMATH Open1546.3504MaRDI QIDQ6590476

P. A. Khodunov, N. D. Filonov

Publication date: 21 August 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

boundedness of solutionssecond-order elliptic equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Qualitative properties of solutions to partial differential equations (35B99)

Cites Work

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• On divergence-free drifts
• A strong regularity result for parabolic equations
• Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• On some properties of weak solutions to elliptic equations with divergence-free drifts

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