Critical points of a mean field type functional on a closed Riemann surface
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Publication:2090629
DOI10.12775/TMNA.2021.055zbMath1500.49004OpenAlexW4297404828MaRDI QIDQ2090629
Publication date: 31 October 2022
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-60/issue-1/Critical-points-of-a-mean-field-type-functional-on-a/10.12775/TMNA.2021.055.full
Existence of solutions for minimax problems (49J35) Elliptic equations on manifolds, general theory (58J05) Topological methods (93B24)
Cites Work
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- A general existence result for the Toda system on compact surfaces
- Some existence results for the Toda system on closed surfaces
- Topological methods for an elliptic equation with exponential nonlinearities
- Prescribing Gaussian curvature on S 2
- The existence of surfaces of constant mean curvature with free boundaries
- Conformal deformations of metric on \({\mathcal S}\) 2
- Prescribing Gaussian curvatures on surfaces with conical singularities
- Harnack type inequality: The method of moving planes
- On a sharp Sobolev-type inequality on two-dimensional compact manifolds
- Existence results for mean field equations
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
- Topological degree for mean field equations on \(S^2\)
- Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface
- The convergence of the mean field type flow at a critical case
- Vortex condensation in the Chern-Simons Higgs model: An existence theorem
- A Trudinger-Moser inequality involving \(L^p\)-norm on a closed Riemann surface
- Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary
- Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
- Curvature functions for compact 2-manifolds
- A mean field type flow. I: compactness of solutions to a perturbed mean field type equation
- Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two
- Existence of conformal metrics with constant \(Q\)-curvature
- A mean field type flow. II: Existence and convergence
- The Equation Δ<em>u</em>+∇φ•∇<em>u</em>=8<em>πc</em>(1-<em>he</em><sup><em>u</em></sup>) on a Riemann Surface
- EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
- Topological degree for a mean field equation on Riemann surfaces
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- A remark on a result of Ding-Jost-Li-Wang
- Multiple condensate solutions for the Chern–Simons–Higgs theory
