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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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.