Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary.
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms
Existence de la trace initiale pour des solutions d'une équation parabolique dégénérée
Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.
Existence d'ondes de raréfaction pour des écoulements isentropiques
Existence et comportement asymptotique en temps des solutions de Navier-Stokes Coriolis dans une bande tridimensionnelle
Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of , is equivalent to finding the critical points...
Existence of absorbing set for a nonlinear wave equation.
Existence of blowup solutions for nonlinear problems with a gradient term.
Existence of global solution of a nonlinear wave equation with short-range potential
Existence of global solutions for systems of reaction-diffusion equations on unbounded domains.
Existence of global solutions to a quasilinear wave equation with general nonlinear damping.
Existence of global solutions to the Cauchy problem for the seminlinear dissipative wave equations.
Existence of positive solutions for -Laplacian problems.
Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of .
Existence of pullback attractors for the coupled suspension bridge equations.
Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity
Existence of solutions for a model of self-gravitating particles with external potential
We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.