Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality
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Publication:2189490
DOI10.1016/j.aim.2020.107212zbMath1442.35195OpenAlexW3031369123MaRDI QIDQ2189490
Fa Peng, Yi Ru-Ya Zhang, Hongjie Dong, Yuan Zhou
Publication date: 15 June 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2020.107212
\(p\)-harmonic functionHessian estimateparabolic normalized \(p\)-Laplace equationfundamental inequalitysecond order Sobolev regularity
Related Items (13)
Improved regularity for the parabolic normalized \(p\)-Laplace equation ⋮ Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ A second-order Sobolev regularity for \(p(x)\)-Laplace equations ⋮ Regularity for $p$-Harmonic Functions in the Grušin Plane ⋮ A quantitative second order estimate for (weighted) \(p\)-harmonic functions in manifolds under curvature-dimension condition ⋮ Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non‐divergence form ⋮ Gradient regularity for a singular parabolic equation in non-divergence form ⋮ A systematic approach on the second order regularity of solutions to the general parabolic \(p\)-Laplace equation ⋮ \(\mathrm{HW}^{2, 2}_\mathrm{loc}\)-regularity for \(p\)-harmonic functions in Heisenberg groups ⋮ Unnamed Item ⋮ Global second order Sobolev-regularity of \(p\)-harmonic functions ⋮ Note on an elementary inequality and its application to the regularity of p-harmonic functions ⋮ On the second-order regularity of solutions to the parabolic \(p\)-Laplace equation
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