This contribution is the preface of the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday.
Citation: Julie Clutterbuck, Jiakun Liu. Preface to the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday[J]. Mathematics in Engineering, 2023, 5(6): 1-5. doi: 10.3934/mine.2023095
This contribution is the preface of the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday.
[1] | L. Boccardo, A "nonlinear duality" approach to $W^{1, 1}_0$ solutions in elliptic systems related to the Keller-Segel model, Mathematics in Engineering, 5 (2023), 1–11. http://doi.org/10.3934/mine.2023085 doi: 10.3934/mine.2023085 |
[2] | B. Brandolini, F. C. Cîrstea, Anisotropic elliptic equations with gradient-dependent lower order terms and $L^1$ data, Mathematics in Engineering, 5 (2023), 1–33. http://doi.org/10.3934/mine.2023073 doi: 10.3934/mine.2023073 |
[3] | D. De Silva, O. Savin, Uniform density estimates and $\Gamma$-convergence for the Alt-Phillilps functional of negative powers, Mathematics in Engineering, 5 (2023), 1–27. http://doi.org/10.3934/mine.2023086 doi: 10.3934/mine.2023086 |
[4] | B. Deng, X. Ma, Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle, Mathematics in Engineering, 5 (2023), 1–13. http://doi.org/10.3934/mine.2023093 doi: 10.3934/mine.2023093 |
[5] | S. Dipierro, G. Giacomin, E. Valdinoci, The fractional Malmheden theorem, Mathematics in Engineering, 5 (2023), 1–28. http://doi.org/10.3934/mine.2023024 doi: 10.3934/mine.2023024 |
[6] | Y. Du, W. Ni, The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $\mathbb{R}^3$, Mathematics in Engineering, 5 (2023), 1–26. http://doi.org/10.3934/mine.2023041 doi: 10.3934/mine.2023041 |
[7] | Y. Giga, H. Kuroda, M. Łasica, The fourth-order total variation flow in $\mathbb{R}^n$, Mathematics in Engineering, 5 (2023), 1–45. http://doi.org/10.3934/mine.2023091 doi: 10.3934/mine.2023091 |
[8] | P. Guan, A weighted gradient estimate for solutions of $L^p$ Christoffel-Minkowski problem, Mathematics in Engineering, 5 (2023), 1–14. http://doi.org/10.3934/mine.2023067 doi: 10.3934/mine.2023067 |
[9] | Q. Guang, Q.-R. Li, X.-J. Wang, Flow by Gauss curvature to the $L_p$ dual Minkowski problem, Mathematics in Engineering, 5 (2023), 1–19. http://doi.org/10.3934/mine.2023049 doi: 10.3934/mine.2023049 |
[10] | H. Ishii, The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence, Mathematics in Engineering, 5 (2023), 1–10. http://doi.org/10.3934/mine.2023072 doi: 10.3934/mine.2023072 |
[11] | F. Jiang, Weak solutions of generated Jacobian equations, Mathematics in Engineering, 5 (2023), 1–20. http://doi.org/10.3934/mine.2023064 doi: 10.3934/mine.2023064 |
[12] | N. Krylov, On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces, Mathematics in Engineering, 5 (2023), 1–20. http://doi.org/10.3934/mine.2023038 doi: 10.3934/mine.2023038 |
[13] | Y. Li, G. Tian, X. Zhu, Singular Kähler-Einstein metrics on $\mathbb{Q}$-Fano compactifications of Lie groups, Mathematics in Engineering, 5 (2023), 1–43. http://doi.org/10.3934/mine.2023028 doi: 10.3934/mine.2023028 |
[14] | Y. Y. Li, Symmetry of hypersurfaces and the Hopf Lemma, Mathematics in Engineering, 5 (2023), 1–9. http://doi.org/10.3934/mine.2023084 doi: 10.3934/mine.2023084 |
[15] | C. Mooney, A. Rakshit, Singular structures in solutions to the Monge-Ampère equation with point masses, Mathematics in Engineering, 5 (2023), 1–11. http://doi.org/10.3934/mine.2023083 doi: 10.3934/mine.2023083 |
[16] | W. Sheng, S. Xia, Interior curvature bounds for a type of mixed Hessian quotient equations, Mathematics in Engineering, 5 (2023), 1–27. http://doi.org/10.3934/mine.2023040 doi: 10.3934/mine.2023040 |
[17] | Y. Yuan, A monotonicity approach to Pogorelov's Hessian estimates for Monge-Ampère equation, Mathematics in Engineering, 5 (2023), 1–6. http://doi.org/10.3934/mine.2023037 doi: 10.3934/mine.2023037 |