Cover Image

Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Shuijin, Wang, Jialin, Zheng, Yu, Li, Xiang, Xu, Jijie
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nondegeneracy of positive solutions for critical Hartree equation on Heisenberg group and it's applications
by: Yang, Minbo, et al.
Published: (2025)

Quantitative stability of critical points for the nonlocal-Sobolev inequality in Heisenberg group
by: Zhang, Shuijin, et al.
Published: (2025)

Bubble solution for the critical Hartree equation in pierced domain
by: Ghimenti, Marco, et al.
Published: (2024)

Symmetry and classification of positive standing waves of nonlinear Hartree type equations
by: Böer, Eduardo de Souza, et al.
Published: (2026)

Construction of two-bubble solutions for the energy-critical Hartree equation
by: Jendrej, Jacek, et al.
Published: (2026)

Asymptotic behavior of least energy solutions to the nonlinear Hartree equation near critical exponent
by: Cingolani, Silvia, et al.
Published: (2025)

Symmetry and classification of positive solutions of some weighted elliptic equations
by: Li, Kui, et al.
Published: (2025)

Existence of infinitely many solutions for a critical Hartree type equation with potential: local Pohožaev identities methods
by: Cassani, Daniele, et al.
Published: (2024)

Nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations
by: Li, Xuemei, et al.
Published: (2023)

Non-uniqueness of Leray weak solutions of the forced MHD equations
by: Wang, Jun, et al.
Published: (2024)

Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set
by: Huang, Xia, et al.
Published: (2024)

Scattering for the positive density Hartree equation
by: Borie, Antoine, et al.
Published: (2025)

Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group
by: Drago, Nicolò, et al.
Published: (2025)

Nondegeneracy properties and uniqueness of positive solutions to a class of fractional semilinear equations
by: Fall, Mouhamed Moustapha, et al.
Published: (2023)

Remarks on the well-posedness of the energy-critical inhomogeneous Hartree equation
by: Kim, Seongyeon, et al.
Published: (2026)

On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
by: Chen, Huyuan, et al.
Published: (2024)

Multiplicity and uniqueness of positive solutions for a superlinear-singular $(p,q)$-Laplacian equation on locally finite graphs
by: Zhang, Xuechen, et al.
Published: (2025)

Non-uniqueness of smooth solutions of the 5D magnetohydrodynamic equations from critical data
by: Chen, Zipeng, et al.
Published: (2026)

Lipschitz regularity for solutions to an orthotropic $q$-Laplacian-type equation in the Heisenberg group
by: Circelli, Michele, et al.
Published: (2024)

On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations
by: Lee, Zachary, et al.
Published: (2022)

Asymptotic behavior of solutions for the nonlinear Hartree equation involving the fractional Laplacian
by: Borgia, Natalino, et al.
Published: (2026)

Nonlinear fractional equations in the Heisenberg group
by: Palatucci, Giampiero, et al.
Published: (2023)

Existence and uniqueness of weak solutions to a parabolic nonlocal 1-Laplacian equation
by: Li, Dingding, et al.
Published: (2024)

Existence and multiplicity of positive solutions to a critical elliptic equation with logarithmic perturbation
by: He, Qihan, et al.
Published: (2025)

Non-existence and multiplicity of positive solutions for Choquard equations with critical combined nonlinearities
by: Ma, Shiwang
Published: (2024)

Local regularity for nonlocal double phase equations in the Heisenberg group
by: Fang, Yuzhou, et al.
Published: (2023)

Ground state solutions of mixed local-nonlolcal equations with Hartree type nonlinearities
by: Anthal, Gurdev Chand, et al.
Published: (2026)

Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane
by: Peng, Yi, et al.
Published: (2025)

Symmetry and monotonicity of singular solutions for the Hartree equation
by: Cai, Ying, et al.
Published: (2025)

Local existence and uniqueness of solution to the two-dimensional inhomogeneous Prandtl equations by energy method
by: Gao, Jincheng, et al.
Published: (2024)

Threshold solutions of the energy-critical complex Ginzburg-Landau equation
by: Cheng, Xing, et al.
Published: (2024)

Existence, non-degeneracy and local uniqueness of multi-peak solutions to the fractional Schrödinger equation with nearly critical exponent in $\mathbb{R}^N$
by: Guo, Yanyan, et al.
Published: (2026)

Boundary quantitative unique continuation for solutions of elliptic equations
by: Dalberg, Jack, et al.
Published: (2024)

On the uniqueness of the mild solution of the critical quasi-geostrophic equation
by: Iwabuchi, Tsukasa, et al.
Published: (2024)

New type of solutions for the critical polyharmonic equation
by: Chen, Wenjing, et al.
Published: (2024)

A note on the classification of positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$
by: Vétois, Jérôme
Published: (2023)

Excess decay for quasilinear equations in the Heisenberg group and consequences
by: Mallick, Arka, et al.
Published: (2024)

Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
by: Bechtel, Sebastian, et al.
Published: (2026)

Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
by: Bonicatto, Paolo, et al.
Published: (2018)

Qualitative properties of single blow-up solutions for nonlinear Hartree equation with slightly subcritical exponent
by: Cannone, Alessandro, et al.
Published: (2025)