Bubbling solutions for mean field equations with variable intensities on compact Riemann surfaces

Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
On the existence and blow-up of solutions for a mean field equation with variable intensities
New existence results for the mean field equation on compact surfaces via degree theory
Blow-up behavior for a degenerate elliptic \(\sinh \)-Poisson equation with variable intensities
Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities
Mountain-pass solutions for a mean field equation from two-dimensional turbulence.
Singular mean field equations on compact Riemann surfaces
Self-dual gauge field vortices. An analytical approach
A general existence result for the Toda system on compact surfaces
Existence of solution for mean field equation for the equilibrium turbulence
\(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation
Morse theory and a scalar field equation on compact surfaces
New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
Prescribing Gaussian curvature on S 2
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
Harnack type inequality: The method of moving planes
Existence results for mean field equations
Double vortex condensates in the Chern-Simons-Higgs theory
The scalar curvature equation on 2- and 3-spheres
Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
Construction of singular limits for a semilinear elliptic equation in dimension 2
On a singularly perturbed elliptic equation
On the existence of blowing-up solutions for a mean field equation
Classification of blow-up limits for the sinh-Gordon equation.
Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
Existence of bubbling solutions for Chern-Simons model on a torus
Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents
Curvature functions for compact 2-manifolds
On the mean field equation with variable intensities on pierced domains
Singular limits in Liouville-type equations
Mean field equation for the equilibrium turbulence and a related functional inequality
Multiple blow-up phenomena for the sinh-Poisson equation
The blow up analysis of solutions of the elliptic sinh-Gordon equation
Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
Singular limits for Liouville-type equations on the flat two-torus
Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence
An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime
EXISTENCE RESULT FOR MEAN FIELD EQUATION OF THE EQUILIBRIUM TURBULENCE IN THE SUPER CRITICAL CASE
An Elementary Proof of the Existence of Isothermal Parameters on a Surface
EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
Statistical mechanics of classical particles with logarithmic interactions
Topological degree for a mean field equation on Riemann surfaces
Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation
Equilibria of point-vortices on closed surfaces
Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
On the topological degree of the mean field equation with two parameters
A note on a sinh-Poisson type equation with variable intensities on pierced domains
Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model
Multiple condensate solutions for the Chern–Simons–Higgs theory
Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
Equilibria of vortex type Hamiltonians on closed surfaces
Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains