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7 papers · 2 filters
On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N
Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti +1
We study an eigenvalue problem for functions in R^N and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of th…
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Marco G. Ghimenti, Carlo R. Grisanti
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation ε^2{\box}ψ + W'(ψ) = 0 in a bounded domain D. The main result of this paper is that, un…
Morse Theory for Geodesics in Conical Manifolds
Marco G. Ghimenti
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. We define these manifolds as submanifolds of with a finite number of conical sing…
The 3-D Inviscid Limit Result under Slip Boundary Conditions. A Negative Answer
H. Beirão da Veiga, F. Crispo
We show that, in general, the solutions to the initial-boundary value problem for the Navier-Stokes equations under a widely adopted Navier-type slip boundary condition do not conv…
Finite time blow-up for a wave equation with a nonlocal nonlinearity
Ahmad Fino, Mokhtar Kirane, Vladimir Georgiev
In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on…
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential
Vladimir Georgiev, George Venkov
In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overco…