Estimates of the Hölder constant for functions satisfying a uniformly elliptic or a uniformly parabolic quasilinear inequality with unbounded coefficients

DOI10.1007/BF01387722zbMath0614.35096OpenAlexW2027137499MaRDI QIDQ1820335

O. A. Ladyzhenskaya, Nina N. Ural'tseva

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01387722

zbMATH Keywords

estimatesHölder exponentsquasilinear inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential inequalities and systems of partial differential inequalities (35R45) Lipschitz (Hölder) classes (26A16) Elliptic equations and elliptic systems (35J99) Parabolic equations and parabolic systems (35K99)

Related Items (5)

A review of some new results in the theory of linear elliptic equations with drift in \(L_d\) ⋮ On certain degenerate and singular elliptic PDEs I: nondivergence form operators with unbounded drifts and applications to subelliptic equations ⋮ A review of some new results in the theory of linear elliptic equations with drift in L_d ⋮ Estimates of the Hölder constant for the solution of an initial- boundary value problem with an oblique derivative for a parabolic equation ⋮ Linear and fully nonlinear elliptic equations with L_d-drift

Cites Work

• Unnamed Item
• Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
• Harnack's inequality for elliptic equations and the Hölder property of their solutions
• Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form

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