Über quasilineare elliptische Differentialgleichungen in der Ebene.
Un résultat de non-existence de solution positive pour une équation elliptique
Un risultato di perturbazione per una classe di problemi ellittici variazionali di tipo superlineare
Si considera il problema al contorno in , , dove è un aperto limitato e connesso ed è un parametro reale. Si prova che, se è «superlineare» ed è abbastanza piccolo, il problema precedente ha almeno tre soluzioni distinte.
Un théorème de valeurs intermédiaires dans les espaces de Sobolev et applications
Une méthode numérique pour le calcul des points de retournement. Application à un problème aux limites non-linéaire. I. Etude théorique et expérimentation de la méthode.
Unfolding Bifucations of an Elliptic Boundary Value Problem.
Uniform convergence of monotone iterative methods for semilinear singularly perturbed problems of elliptic and parabolic types.
Uniqueness and regularity properties of linear operators and their applications
Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions.
Uniqueness for positive solutions of -Laplacian problem in an annulus
Uniqueness of global positive solution branches of nonlinear elliptic problems.
Uniqueness of least energy solutions to a semilinear elliptic equation in R2.
Uniqueness of solutions for some elliptic equations with a quadratic gradient term
We study a comparison principle and uniqueness of positive solutions for the homogeneous Dirichlet boundary value problem associated to quasi-linear elliptic equations with lower order terms. A model example is given by The main feature of these equations consists in having a quadratic gradient term in which singularities are allowed. The arguments employed here also work to deal with equations having lack of ellipticity or some dependence on u in the right hand side. Furthermore, they...
Uniqueness of the Solution of a Semilinear Boundary Value Problem.
Uniqueness of weak solution for nonlinear elliptic equations in divergence form.
Varying domains in a general class of sublinear elliptic problems.
Vertical compaction in a faulted sedimentary basin
In this paper, we consider a 2D mathematical modelling of the vertical compaction effect in a water saturated sedimentary basin. This model is described by the usual conservation laws, Darcy’s law, the porosity as a function of the vertical component of the effective stress and the Kozeny-Carman tensor, taking into account fracturation effects. This model leads to study the time discretization of a nonlinear system of partial differential equations. The existence is obtained by a fixed-point argument....
Vertical compaction in a faulted sedimentary basin
In this paper, we consider a 2D mathematical modelling of the vertical compaction effect in a water saturated sedimentary basin. This model is described by the usual conservation laws, Darcy's law, the porosity as a function of the vertical component of the effective stress and the Kozeny-Carman tensor, taking into account fracturation effects. This model leads to study the time discretization of a nonlinear system of partial differential equations. The existence is obtained by a fixed-point argument....
Very weak solutions of the stationary Stokes equations in unbounded domains of half space type
We consider the theory of very weak solutions of the stationary Stokes system with nonhomogeneous boundary data and divergence in domains of half space type, such as , bent half spaces whose boundary can be written as the graph of a Lipschitz function, perturbed half spaces as local but possibly large perturbations of , and in aperture domains. The proofs are based on duality arguments and corresponding results for strong solutions in these domains, which have to be constructed in homogeneous...
Věta o reciprocitě pro přechodné jevy