In this paper we construct single and multiple blowing-up solutions to the mean field equation $-\Delta u=λ V(x)e^u/\int_\Omega V(x) e^u$ in Ω, $u=0$ on $\partial \Omega$, where Ω is a smooth bounded domain in R^2, V is a smooth function positive somewhere in Ω and λ is a positive parameter
Motivated by the mean field equations with probability measure derived by Sawada-Suzuki and by Neri ...
For the Neumann sinh-Gordon equation on the unit ball B ⊂R^2 $-\Delta u = λ^+(e^u/\int_B e^u-1/\pi)...
We study the blow-up set of a solution u(x,t) to the porous medium equation, ut = δ(um), in ω x (0,T...
In this paper we construct single and multiple blowing-up solutions to the mean field equation $-\De...
We analyze the structure of non radial $N$-point blow up solutions sequences for the Liouville type ...
We build blowing-up solutions for a mean field equation on a pierced planar domain
We consider the mean field equation on two-dimensional annular domains, and prove that if P1 and P2 ...
We are concerned with the mean field equation with singular data on bounded domains. By assuming a s...
We prove the uniqueness of blow up solutions of the mean field equation as rn ! 8pm, m 2 N. If un,1 ...
We consider the two-dimensional mean field equation of the equilibrium turbulence with variable inte...
The pioneering work of Brezis-Merle cite{bm}, Li-Shafrir cite{ls}, Li cite{l} and Bartolucci-Tarante...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
We investigate boundary blow-up solutions of the equation \Delta u = f (u) in a bounded domain Ω ⊂ R...
Motivated by the mean field equations with probability measure derived by Sawada-Suzuki and by Neri ...
For the Neumann sinh-Gordon equation on the unit ball B ⊂R^2 $-\Delta u = λ^+(e^u/\int_B e^u-1/\pi)...
We study the blow-up set of a solution u(x,t) to the porous medium equation, ut = δ(um), in ω x (0,T...
In this paper we construct single and multiple blowing-up solutions to the mean field equation $-\De...
We analyze the structure of non radial $N$-point blow up solutions sequences for the Liouville type ...
We build blowing-up solutions for a mean field equation on a pierced planar domain
We consider the mean field equation on two-dimensional annular domains, and prove that if P1 and P2 ...
We are concerned with the mean field equation with singular data on bounded domains. By assuming a s...
We prove the uniqueness of blow up solutions of the mean field equation as rn ! 8pm, m 2 N. If un,1 ...
We consider the two-dimensional mean field equation of the equilibrium turbulence with variable inte...
The pioneering work of Brezis-Merle cite{bm}, Li-Shafrir cite{ls}, Li cite{l} and Bartolucci-Tarante...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
We investigate boundary blow-up solutions of the equation \Delta u = f (u) in a bounded domain Ω ⊂ R...
Motivated by the mean field equations with probability measure derived by Sawada-Suzuki and by Neri ...
For the Neumann sinh-Gordon equation on the unit ball B ⊂R^2 $-\Delta u = λ^+(e^u/\int_B e^u-1/\pi)...
We study the blow-up set of a solution u(x,t) to the porous medium equation, ut = δ(um), in ω x (0,T...