A mathematical analysis of thermal explosions.
A mathematical aspect for Liesegang phenomena
A mathematical model of suspension bridges
We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.
A maximal regularity result with applications to parabolic problems with nonhomogeneous boundary conditions
A maximum principle for biharmonic functions in Lipschitz and C1 domains.
A maximum principle for linear elliptic systems with discontinuous coefficients
We prove a maximum principle for linear second order elliptic systems in divergence form with discontinuous coefficients under a suitable condition on the dispersion of the eigenvalues of the coefficients matrix.
A maximum principle for mean-curvature type elliptic inequalities
A maximum principle for systems with variational structure and an application to standing waves
We establish via variational methods the existence of a standing wave together with an estimate on the convergence to its asymptotic states for a bistable system of partial differential equations on a periodic domain. The main tool is a replacement lemma which has as a corollary a maximum principle for minimizers.
A memory type boundary stabilization of a mildly damped wave equation.
A method for treating a class of nonlinear diffusion problems
Si presenta un metodo di soluzione di una classe di problemi di diffusione nonlineare che hanno origine dalla teoria delle popolazioni con struttura di età.
A minimization problem associated with elliptic systems of Fitz–Hugh–Nagumo type
A mixed boundary value problem for the Laplace equation in an angle (1st part)
A mixed problem for a Boussinesq hyperbolic equation with integral condition.
A mixed problem for a hyperbolic system on the plane with delay in the boundary conditions.
A mixed problem with only integral boundary conditions for a hyperbolic equation.
A model of a radially symmetric cloud of self-attracting particles
We consider a parabolic equation which describes the gravitational interaction of particles. Existence of solutions and their convergence to stationary states are studied.
A model problem for boundary layers of thin elastic shells
We consider a model problem (with constant coefficients and simplified geometry) for the boundary layer phenomena which appear in thin shell theory as the relative thickness ε of the shell tends to zero. For ε = 0 our problem is parabolic, then it is a model of developpable surfaces. Boundary layers along and across the characteristic have very different structure. It also appears internal layers associated with propagations of singularities along the characteristics. The special structure of...
A modern proof of the Maximum Principle
A monotonicity method for solving hyperbolic problems with hysteresis
A multiscale correction method for local singular perturbations of the boundary
In this work, we consider singular perturbations of the boundary of a smooth domain. We describe the asymptotic behavior of the solution uE of a second order elliptic equation posed in the perturbed domain with respect to the size parameter ε of the deformation. We are also interested in the variations of the energy functional. We propose a numerical method for the approximation of uE based on a multiscale superposition of the unperturbed solution u0 and a profile defined in a model domain. We...