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Creators/Authors contains: "Dong, Hongjie"

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  1. ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available May 1, 2027
  2. ; (, Transactions of the American Mathematical Society)
    We study a class of degenerate parabolic and elliptic equations in divergence form in the upper half space {xd>0} \{x_d>0\} . The leading coefficients are of the form xd2 aij x_d^2a_{ij} , where aij a_{ij} are bounded, uniformly elliptic, and measurable in (t,xd) (t,x_d) except add a_{dd} , which is measurable in tt or xdx_d . Additionally, they have small bounded mean oscillations in the other spatial variables. We obtain the well-posedness and regularity of solutions in weighted mixed-norm Sobolev spaces. 
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    Free, publicly-accessible full text available February 1, 2027
  3. ; (, Calculus of Variations and Partial Differential Equations)
    Free, publicly-accessible full text available February 1, 2027
  4. ; ; ; (, Transactions of the American Mathematical Society)
    We investigate the regularity of elliptic equations in double divergence form, where the leading coefficients satisfy the Dini mean oscillation condition. We prove that the solutions are differentiable on the zero level set and derive a pointwise bound for the derivative. As an application, we establish global pointwise estimates for the Green’s function of second-order uniformly elliptic operators in non-divergence form, assuming Dini mean oscillation coefficients in bounded C1,α<#comment/>C^{1,\alpha } domains. 
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    Free, publicly-accessible full text available December 1, 2026
  5. ; ; (, SIAM Journal on Applied Mathematics)
    Free, publicly-accessible full text available December 31, 2026
  6. ; ; ; (, Mathematische Annalen)
    Free, publicly-accessible full text available December 1, 2026
  7. ; ; ; (, Archive for Rational Mechanics and Analysis)
    Free, publicly-accessible full text available December 1, 2026
  8. ; (, Discrete and Continuous Dynamical Systems)
    Free, publicly-accessible full text available January 1, 2027
  9. ; ; (, ArXivorg)
    Accepted Manuscript Full Text Available
  10. ; (, SIAM Journal on Applied Mathematics)
    Full Text Available