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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Proposes and empirically tests an adaptive double-phase ROF denoising model that reduces staircasing while preserving edges, reporting improved or similar SSIM, PSNR, and LPIPS performance.
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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).