Some Estimates for Nondivergence Structure, Second Order Elliptic Equations

DOI10.2307/1999671zbMath0565.35031OpenAlexW4242610813MaRDI QIDQ3679577

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Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999671

zbMATH Keywords

majorantsecond order elliptic operatorminorantnondivergence structure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35)

Related Items (8)

\(W^{\sigma, p}\) a priori estimates for fully nonlinear integro-differential equations ⋮ \(W^{\sigma,\epsilon}\)-estimates for nonlocal elliptic equations ⋮ New regularity estimates for fully nonlinear elliptic equations ⋮ High-order estimates for fully nonlinear equations under weak concavity assumptions ⋮ ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation ⋮ 𝑊^{{}2,𝑝}–estimates for the linearized Monge–Ampère equation ⋮ The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations

Cites Work

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• On solving certain nonlinear partial differential equations by accretive operator methods
• Harnack's inequality for elliptic equations and the Hölder property of their solutions
• Nonexistence of an a priori bound at the center in terms of an \(L_ 1\) bound on the boundary for solutions of uniformly elliptic equations on a sphere
• Equivalence of the Green's Functions for Diffusion Operators in R n : A Counterexample
• A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS

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