Establishes interior Hölder gradient estimates, pointwise improvements, and Schauder-type estimates at extremal points for viscosity solutions of degenerate fully nonlinear elliptic PDEs with variable exponents p(x) and q(x).
De Filippis,Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy, Proc
2 Pith papers cite this work. Polarity classification is still indexing.
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fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes optimal C^{1,α} estimates for p > n and log-Lipschitz continuity under the Lorentz condition f ∈ L^{n,1} for degenerate fully nonlinear elliptic equations with L^p data.
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Gradient Regularity for Fully Nonlinear Equations with Variable Degeneracy and Hamiltonian Lower-Order Terms
Establishes interior Hölder gradient estimates, pointwise improvements, and Schauder-type estimates at extremal points for viscosity solutions of degenerate fully nonlinear elliptic PDEs with variable exponents p(x) and q(x).
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A priori estimates for solutions of degenerate fully nonlinear elliptic equations with $L^p$ data
Establishes optimal C^{1,α} estimates for p > n and log-Lipschitz continuity under the Lorentz condition f ∈ L^{n,1} for degenerate fully nonlinear elliptic equations with L^p data.