The Boyarsky–Meyers Inequality for Solutions to p-Elliptic Equation with Lower Order Terms and Dirichlet Boundary Condition

Alkhutov Y.A. Chechkin G.A.
July 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #291 Issue 4 433 - 440 pp.

We establish the improved integrability of the gradient of the solution to the homogeneous Dirichlet problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms.

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Vladimir State University, 87, ul. Gor’kogo, Vladimir, 600000, Russian Federation
Lomonosov Moscow State University, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center, 112, Chernyshevskogo St., Ufa, 450008, Russian Federation
Institute of Mathematics and Mathematical Modeling, 125, Pushkina St., Almaty, 050010, Kazakhstan

Vladimir State University
Lomonosov Moscow State University
Institute of Mathematics with Computing Center
Institute of Mathematics and Mathematical Modeling

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