The classification of four end solutions of the Allen-Cahn equation on the plane
The Colombeau Quaternion Algebra
The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups
The Concavity of the Gaussian Curvature of the convex level sets of minimal surface with respect to the height
The concentration-compactness principle for variable exponent spaces and applications
The conformal plate buckling equation
The conormal derivative problem for higher order elliptic systems with irregular coefficients
The Construction of a Partially Regular Solution to the Landau-Lifshitz-Gilbert Equation in $\mathbb{R}^2$
The continuous limit of the Moran process and the diffusion of mutant genes in infinite populations
The contribution of age structure to cell population responses to targeted therapeutics
The convection-diffusion equation for a finite domain with time varying boundaries
The critical dimension for a 4th order problem with singular nonlinearity
The critical dimension for a fourth order elliptic problem with singular nonlinearity
The cubic fourth-order Schrodinger equation
The cubic nonlinear Schrödinger equation in two dimensions with radial data
The Curvelet Representation of Wave Propagators is Optimally Sparse
The Davey Stewartson system in Weak $L^p$ Spaces
The De Giorgi conjecture on elliptic regularization
The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
The defocusing energy-supercritical cubic nonlinear wave equation in dimension five