Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems.
Existence and uniqueness results on Single-Peaked solutions of a semilinear problem
Existence and upper semicontinuity of uniform attractors in for nonautonomous nonclassical diffusion equations
We prove the existence of uniform attractors in the space for the nonautonomous nonclassical diffusion equation , ε ∈ [0,1]. The upper semicontinuity of the uniform attractors at ε = 0 is also studied.
Existence by minimisation of solitary water waves on an ocean of infinite depth
Existence, comportement à l'infini et stabilité dans certains problèmes quasilinéaires elliptiques et paraboliques d'ordre 2
Existence de la trace initiale pour des solutions d'une équation parabolique dégénérée
Existence de solutions non bornées pour certaines équations quasi-linéaires
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 prolongement des solutions holomorphes des équations aux dérivées partielles.
Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique
Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems
We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
Existence globale pour un fluide inhomogène
Dans cet article on s’intéresse à l’existence et l’unicité globale de solutions pour le système de Navier-Stokes à densité variable, lorsque la donnée initiale de la vitesse est dans l’espace de Besov homogène de régularité critique . Notons que ce résultat fait suite aux résultats de H. Abidi qui a généralisé le travail de R. Danchin. Toutefois, dans les travaux antérieurs, l’existence de la solution est obtenue pour et l’unicité est démontrée sous l’hypothèse plus restrictive Notre résultat...
Existence locale de solutions pour l’équation de Monge-Ampère réelle
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights
Existence of a minimal solution and a maximal solution of a nonlinear elliptic boundary value problem of the fourth order
Existence of a nonautonomous SIR epidemic model with age structure.
Existence of a positive ground state solution for a Kirchhoff type problem involving a critical exponent
We consider the following Kirchhoff type problem involving a critical nonlinearity: ⎧ in Ω, ⎨ ⎩ u = 0 on ∂Ω, where (N ≥ 3) is a smooth bounded domain with smooth boundary ∂Ω, a > 0, b ≥ 0, and 0 < m < 2/(N-2). Under appropriate assumptions on f, we show the existence of a positive ground state solution via the variational method.