Existence of a nonstationary Poiseuille solution.
Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang [6] and the properties of variational Sobolev spaces, we establish conditions which ensure the existence of solution for our problem.
Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data.
Existence of global solution for a differential system with initial data in .
Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in dimensions
Existence of global solutions to the 2-D subcritical dissipative quasi-geostrophic equation and persistency of the initial regularity.
Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations.
Existence of entropy solutions for a reacting Euler system.
Existence of Local Smooth Solution for a Generalized Zakharov System.
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Existence of minimizers for Kohn-Sham models in quantum chemistry
Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in .
Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation.
Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation.
Existence of permanent and breaking waves for a shallow water equation : a geometric approach
The existence of global solutions and the phenomenon of blow-up of a solution in finite time for a recently derived shallow water equation are studied. We prove that the only way a classical solution could blow-up is as a breaking wave for which we determine the exact blow-up rate and, in some cases, the blow-up set. Using the correspondence between the shallow water equation and the geodesic flow on the manifold of diffeomorphisms of the line endowed with a weak Riemannian structure, we give sufficient...
Existence of pullback attractors for the coupled suspension bridge equations.
Existence of reaction-diffusion-convection waves in unbounded strips.
Existence of regular solutions to the stationary Navier-Stokes equations.
Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity