The Euler--Poisson system in 2D: global stability of the constant equilibrium solution

The Evans-Krylov theorem for non local fully non linear equations

The evolutionary limit for models of populations interacting competitively with many resources

The existence and uniqueness of the smoothing solution of the Navier-Stokes equations

The existence of embedded minimal hypersurfaces

The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group

The existence, nonexistence and uniqueness of global positive coexistence of a nonlinear elliptic biological interacting model

The explosion problem in a flow

The family index theorem and bifurcation of solutions of nonlinear elliptic bvp

The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation

The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$

The first boundary value problem for Abreu's equation

The flashing ratchet and unidirectional transport of matter

The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

The Focusing NLS Equation on the Half-Line with Periodic Boundary Conditions

The Forced Non-Linear Schroedinger Equation with a Potential on the Half-Line

The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains

The Fourier transform and the wave equation

The fractional Hardy inequality with a remainder term