On interior estimates of the Sobolev norms of solutions of elliptic equations

DOI10.1134/S0001434608010318zbMath1156.35017OpenAlexW2065205793MaRDI QIDQ948587

Stanislav V. Shaposhnikov

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608010318

zbMATH Keywords

Sobolev spaceSobolev normSobolev embedding theoremHölder's inequalityelliptic equationYoung's inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15)

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On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution ⋮ Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter

Cites Work

• Unnamed Item
• Hölder regularity in variational parabolic non-homogeneous equations
• Parabolic and Elliptic Equations with VMO Coefficients
• Elliptic equations with BMO coefficients in Lipschitz domains

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