:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Chen, Zhijie, Fu, Erjuan, Lin, Chang-Shou
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2508.17604
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Green functions, Hitchin's formula and curvature equations on tori II: Rectangular torus
by: Chen, Zhijie, et al.
Published: (2025)

Generic non-degeneracy of critical points of multiple Green functions on torus and applications to curvature equations
by: Chen, Zhijie, et al.
Published: (2025)

Sovability of curvature equations with multiple singular sources on torus via Painleve VI equations
by: Chen, Zhijie, et al.
Published: (2025)

Soliton resolution conjecture for the Benjamin-Ono equation: Explicit $L^\infty$ asymptotic error formula
by: Pan, Hong-Yu, et al.
Published: (2026)

Stability of $n$-soliton solutions for the Intermediate Long Wave equation
by: Lu, Zhen, et al.
Published: (2025)

The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach
by: Grillo, Gabriele, et al.
Published: (2024)

Stability of $N$-soliton solutions for the modified Camassa--Holm equation
by: Lu, Zhen, et al.
Published: (2026)

The integrable nonlocal nonlinear Schrödinger equation with oscillatory boundary conditions: long-time asymptotics
by: Rybalko, Yan, et al.
Published: (2025)

Critical points of the Moser-Trudinger functional on conical singular surfaces, I: compactness
by: Chen, Zhijie, et al.
Published: (2025)

On isolated singularities of the conformal Gaussian curvature equation and $Q$-curvature equation
by: Yang, Hui, et al.
Published: (2025)

Symmetric hyperbolic Schrödinger equations on tori
by: Liu, Baoping, et al.
Published: (2026)

Green function to the biharmonic equation on $n$-dimensional sphere
by: Iglewska-Nowak, Ilona
Published: (2025)

Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
by: Chu, Adrian Chun-Pong, et al.
Published: (2024)

A universal Bochner formula for scalar curvature
by: Hirsch, Sven
Published: (2026)

Poisson semigroup and the Gruet formula for the heat kernels on spaces of constant curvature
by: Moustapha, Mohamed Vall Ould
Published: (2026)

Entropy maximizers for kinetic wave equations set on tori
by: Escobedo, Miguel, et al.
Published: (2024)

On the Classification of blow-up solutions of a singular Liouville equation on the disk
by: Chen, Zhijie, et al.
Published: (2026)

Regularity results for linear parabolic equations on Carnot tori via mollifier kernel construction
by: Jiang, Yiming, et al.
Published: (2026)

On Green's function of the vorticity formulation for the 3D Navier-Stokes equations
by: Kukavica, Igor, et al.
Published: (2024)

The Pogorelov estimates for degenerate curvature equations
by: Jiao, Heming, et al.
Published: (2022)

On Cauchy problem to the modified Camassa-Holm equation: Painlevé asymptotics
by: Tong, Jia-Fu, et al.
Published: (2025)

On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
by: Tian, Shou-Fu, et al.
Published: (2025)

Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori
by: Giuliani, Filippo, et al.
Published: (2024)

Liouville theorems for conformal $Q$-curvature equations
by: Xu, Meiqing, et al.
Published: (2026)

Plane-wave representation for the Laplace--Beltrami equation on a sphere. Application to the Green's function
by: Shanin, Andrey V., et al.
Published: (2026)

A Green's function approach to linearized Monge-Ampère equations in divergence form and application to singular Abreu type equations
by: Gu, Chong, et al.
Published: (2025)

Harnack inequalities for equations of type prescribed scalar curvature
by: Bahoura, Samy Skander
Published: (2024)

Bifurcation of radial solutions for prescribed mean curvature equations
by: Zographopoulos, N. B.
Published: (2026)

Concentration phenomena of positive solutions to weakly coupled Schrödinger systems with large exponents in dimension two
by: Chen, Zhijie, et al.
Published: (2024)

Scalar curvature rigidity for products of spheres and tori
by: Chow, Tsz-Kiu Aaron
Published: (2025)

Pointwise convergence for the heat equation on tori $\mathbb T^n$ and waveguide manifold $\mathbb T^n \times \mathbb R^m$
by: Bhimani, Divyang G., et al.
Published: (2024)

The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation
by: Cong, Hongzi, et al.
Published: (2025)

Monotonicity formulas for harmonic functions on the infinite regular tree
by: Atwood, Kathryn, et al.
Published: (2026)

Standing waves with prescribed mass for NLS equations with Hardy potential in the half-space under Neumman boundary condition
by: Zhang, Yuxuan, et al.
Published: (2025)

The $σ_{2}$-curvature equation on a compact manifold with boundary
by: Chen, Xuezhang, et al.
Published: (2023)

The role of the curvature of a surface in the shape of the solutions to elliptic equations
by: Gladiali, Francesca, et al.
Published: (2025)

Representation formula, regularity, and decay of solutions for sub-diffusion equations
by: Coriasco, Sandro, et al.
Published: (2025)

On the vanishing of eigenfunctions of the Laplacian on tori
by: Germain, Pierre, et al.
Published: (2024)

The Neumann Green function and scale invariant regularity estimates for elliptic equations with Neumann data in Lipschitz domains
by: Kim, Seick, et al.
Published: (2023)

Deforming a hypersurface by principal radii of curvature and support function
by: Ivaki, Mohammad N.
Published: (2018)