On the existence of solutions to a fourth-order quasilinear resonant problem.
On the p-biharmonic operator with critical Sobolev exponent
We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
On the second boundary value problem for equations of Monge-Ampère type.
On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
In this paper a -regularity result for the strong viscosity solutions to the prescribed Levi-curvature equation is announced. As an application, starting from a result by Z. Slodkowski and G. Tomassini, the -solvability of the Dirichlet problem related to the same equation is showed.
On the solvability of von Kármán equations
On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients
We apply a theoretical framework for solving a class of worst scenario problems to a problem with a nonlinear partial differential equation. In contrast to the one-dimensional problem investigated by P. Harasim in Appl. Math. 53 (2008), No. 6, 583–598, the two-dimensional problem requires stronger assumptions restricting the admissible set to ensure the monotonicity of the nonlinear operator in the examined state problem, and, as a result, to show the existence and uniqueness of the state solution....
On uniqueness and stability of steady-state carrier distributions in semiconductors
Perturbations and nonlinear harmonic spaces. (Perturbations et espaces harmoniques non linéares.)
Régularité de la solution d'un problème aux limites non linéaires
Régularité microlocale pour des problèmes aux limites non linéaires
Régularité microlocale pour des problèmes aux limites non linéaires
Régularité microlocale pour des problèmes aux limites non linéaires
On étudie la régularité microlocale de type Sobolev au voisinage du bord d’un ouvert de pour des solutions réelles d’un problème aux limites non linéaire non caractéristique dans la zone à comportement linéaire decrite par J. M. Bony : au delà des chocs et en dessous de l’interaction. Pour ces solutions le front d’onde au bord est bien défini et ne contient pas les points de bord elliptiques au sens de Melrose pour le linéarisé sur la solution, si celle-ci vérifie des conditions aux limites régulières....
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier
Resonance with respect to the Fučík spectrum.
Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method.
Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions.
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities.
Stability analysis of phase boundary motion by surface diffusion with triple junction
The linearized stability of stationary solutions for the surface diffusion flow with a triple junction is studied. We derive the second variation of the energy functional under the constraint that the enclosed areas are preserved and show a linearized stability criterion with the help of the -gradient flow structure of the evolution problem and the analysis of eigenvalues of a corresponding differential operator.
Stopping a viscous fluid by a feedback dissipative field: II. The stationary Navier-Stokes problem
We consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite strip governed by the Navier-Stokes system with a feed-back body forces field which depends on the velocity field. Since the presence of this type of non-linear terms is not standard in the fluid mechanics literature, we start by establishing some results about existence and uniqueness of weak solutions. Then, we prove how this fluid can be stopped at a finite distance of the semi-infinite strip entrance by...
Sul problema del rimbalzo in un insieme convesso
In the present paper we seek the bounce trajectories in a convex set which assume assigned positions in two fixed time instants. We find sufficient conditions in order to obtain the existence of infinitely many bounce trajectories.