Guolin Qin

Available identifiers

zbMath Open qin.guolinMaRDI QIDQ820521

List of research outcomes

Publication	Date of Publication	Type
A note on the existence of stationary vortex patches for the SQG equation in bounded domain	2023-09-08	Paper
Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity	2023-06-27	Paper
Kármán vortex street for the generalized surface quasi-geostrophic equation	2023-06-14	Paper
Liouville-Type Theorems for Fractional and Higher-Order Hénon–Hardy Type Equations via the Method of Scaling Spheres	2023-06-07	Paper
Existence of stationary vortex sheets for the 2D incompressible Euler equation	2023-05-15	Paper
Remarks on orbital stability of steady vortex rings	2023-04-26	Paper
Existence and Stability of Smooth Traveling Circular Pairs for the Generalized Surface Quasi-Geostrophic Equation	2023-04-05	Paper
Vortex patch problem for steady lake equation	2023-03-21	Paper
Method of scaling spheres: Liouville theorems in inner or outer (unbounded or bounded) generalized radially convex domains, blowing-up analysis on domains with not necessarily $C^1$ boundary and other applications	2023-02-27	Paper
Global solutions for the generalized SQG equation and rearrangements	2023-02-20	Paper
Existence of traveling asymmetric vortex pairs in an ideal fluid	2023-02-14	Paper
Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation	2023-02-03	Paper
Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation	2023-01-01	Paper
Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations	2022-08-17	Paper
Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation	2022-06-21	Paper
Existence and Stability of the Lamb Dipoles for the Quasi-Geostrophic Shallow-Water Equations	2022-06-05	Paper
On the global classical solutions for the generalized SQG equation	2022-05-04	Paper
Traveling vortex pairs for 2D Boussinesq equations	2022-03-31	Paper
Existence, uniqueness and stability of steady vortex rings of small cross-section	2022-01-20	Paper
Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications	2021-09-27	Paper
Existence of stationary vortex sheets for the 2D Euler equation	2021-08-17	Paper
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation	2021-08-16	Paper
Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation	2021-08-16	Paper
Direct methods for pseudo-relativistic Schrödinger operators	2021-08-05	Paper
Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians	2021-06-08	Paper
Liouville type theorems for fractional and higher-order fractional systems	2021-06-04	Paper
Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications	2021-04-16	Paper
Existence of co-rotating and travelling vortex patches with doubly connected components for active scalar equations	2021-03-07	Paper
Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation	2021-03-06	Paper
Liouville type theorems for Hardy–Hénon equations with concave nonlinearities	2020-10-15	Paper
Liouville theorem for poly-harmonic functions on \(\mathbb{R}^n_+ \)	2020-08-24	Paper
Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains	2020-06-16	Paper
Liouville type theorem for higher order Hénon equations on a half space	2019-06-21	Paper
Liouville type theorems, a priori estimates and existence of solutions for non-critical higher order Lane-Emden-Hardy equations	2018-08-30	Paper
Liouville type theorems, a priori estimates and existence of solutions for critical order Hardy-H\'{e}non equations in $\mathbb{R}^{n}$	2018-08-20	Paper
Liouville type theorem for critical order Lane-Emden-Hardy equations in $\mathbb{R}^n$	2018-08-05	Paper
Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes	2018-05-28	Paper
Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians	2018-04-23	Paper
Classification of nonnegative classical solutions to third-order equations	2018-03-15	Paper

Research outcomes over time

Doctoral students

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