-total stability and almost periodicity for some partial functional differential equations with infinite delay.
2D-1D dimensional reduction in a toy model for magnetoelastic interactions
The paper deals with the dimensional reduction from 2D to 1D in magnetoelastic interactions. We adopt a simplified, but nontrivial model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem by using the so-called energy method.
5-Shaped Bifurcation Curves of Nonlinear Elliptic Boundary Value Problems.
A bifurcation theorem for noncoercive integral functionals
In this paper we study the existence of critical points for noncoercive functionals, whose principal part has a degenerate coerciveness. A bifurcation result at zero for the associated differential operator is established.
A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations
A bifurcation theory for some nonlinear elliptic equations
We deal with the problem ⎧ -Δu = f(x,u) + λg(x,u), in Ω, ⎨ () ⎩ where Ω ⊂ ℝⁿ is a bounded domain, λ ∈ ℝ, and f,g: Ω×ℝ → ℝ are two Carathéodory functions with f(x,0) = g(x,0) = 0. Under suitable assumptions, we prove that there exists λ* > 0 such that, for each λ ∈ (0,λ*), problem () admits a non-zero, non-negative strong solution such that for all p ≥ 2. Moreover, the function is negative and decreasing in ]0,λ*[, where is the energy functional related to ().
A blow up condition for a nonautonomous semilinear system.
A blowup analysis of the mean field equation for arbitrarily signed vortices
We study the noncompact solution sequences to the mean field equation for arbitrarily signed vortices and observe the quantization of the mass of concentration, using the rescaling argument.
A blow-up mechanism for a chemotaxis model
A blow-up result for a viscoelastic system in .
A blow-up result for nonlinear diffusion equations
A blowup result in a multidimensional semilinear thermoelastic system.
A bound for the solutions of a basic elliptic system with non-linearity
In questa Nota si dimostra un risultato enunciato nel § 5 della pubblicazione [4]. Per le soluzioni di un sistema ellittico base, con non-linearità , vale un principio di massimo analogo a quello dimostrato in [3] nel caso di non-linearità .
A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term.
A boundary control problem with a nonlinear reaction term.
A boundary Harnack principle for infinity-Laplacian and some related results.
A Boundary Value Problem Connected with Response of Semi-space to a Short Laser Pulse
In this paper a mixed boundary value problem for the fourth order hyperbolic equation with constant coefficients which is connected with response of semi-space to a short laser pulse» and belongs to generalized Thermoelasticity is studied. This problem was considered by R. B. Hetnarski and J. Ignaczak, who established some important physical consequences. The present paper contains proof of the existence, uniqueness and continuous dependence of a solution on the datum, together with an effective...
A boundary value problem for an elliptic equation with asymmetric coefficients in a non-schlicht domain.
A brief introduction to homogenization and miscellaneous applications*
This paper is a set of lecture notes for a short introductory course on homogenization. It covers the basic tools of periodic homogenization (two-scale asymptotic expansions, the oscillating test function method and two-scale convergence) and briefly describes the main results of the more general theory of G− or H−convergence. Several applications of the method are given: derivation of Darcy’s law for flows in porous media, derivation of the porosity...
A capacity method for the study of Dirichlet problems for elliptic systems in varying domains