Existence and regularity of extremal solutions for a mean-curvature equation

Existence and regularity of monotone solutions to a free boundary problem

Existence and regularity of positive solutions to elliptic equations of Schrödinger type

Existence and regularity of weakly harmonic maps into a Finsler manifold with a special structure

Existence and sharp localization in velocity of small-amplitude Boltzmann shocks

Existence and stability of asymmetric Burgers vortices

Existence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics

Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations

Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

Existence and stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system

Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation

Existence and Stability of Steady-State Solutions with Finite Energy for the Navier-Stokes equation in the Whole Space

Existence and stability of viscoelastic shock profiles

Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity

Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations

Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Existence and symmetry results for competing variational systems

Existence and uniqueness conditions of positive solutions to semilinear elliptic equations with double power nonlinearities

Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane