Sharp gradient estimates for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions and Hamiltonian terms

2026/07/24 by Wentao Huo
#math.AP

paper · pdf

Abstract

This paper focus on a class of singular or degenerate fully nonlinear elliptic equations with Hamiltonian terms under oblique boundary conditions on C¹ domains. Under quite general conditions on the singularity/degeneracy of the model, we establish the sharp C^1,α regularity up to the boundary within a unified framework.

Citations

• Regularity of solutions to a class of variable–exponent fully nonlinear elliptic equations

Related

• C^1,α regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on C¹ domains
• Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations
• pointwise boundary \bmC^1,α Estimates for some degenerate fully nonlinear elliptic equations on \bmC^1,α Domains
• C^{1, α} Regularity for degenerate fully nonlinear elliptic equations with Neumann boundary conditions
• C^1,α-regularity for a class of degenerate/singular fully nonlinear elliptic equations