Archivio della ricerca dell'Università di Modena e Reggio Emiliahttps://iris.unimore.itIl sistema di repository digitale IRIS acquisisce, archivia, indicizza, conserva e rende accessibili prodotti digitali della ricerca.Sat, 28 Nov 2020 03:12:14 GMT2020-11-28T03:12:14Z10161Polyconvex energies and cavitationhttp://hdl.handle.net/11380/762089Titolo: Polyconvex energies and cavitation
Abstract: We study the existence of singular minimizers in the class of radial deformations for polyconvex energies that grow linearly with respect to the Jacobian.
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/11380/7620892013-01-01T00:00:00ZOn a problem of potential wells.http://hdl.handle.net/11380/421691Titolo: On a problem of potential wells.
Abstract: We find an explicit solution for a potential wells problem in dimension 3.
Sun, 01 Jan 1995 00:00:00 GMThttp://hdl.handle.net/11380/4216911995-01-01T00:00:00ZFunctions with prescribed singular values of the gradient.http://hdl.handle.net/11380/421692Titolo: Functions with prescribed singular values of the gradient.
Abstract: We prove the existence of infinitely many vector-valued Lipschitz-continuous functions u on an open set Ω satisfying suitable Dirichlet boundary conditions such that the singular values of the gradient matrix ∇u, agree a.e. on Ω with N given positive, bounded and lower semicontinuous functions.
Thu, 01 Jan 1998 00:00:00 GMThttp://hdl.handle.net/11380/4216921998-01-01T00:00:00ZOn the closure of reachable sets for control systems.http://hdl.handle.net/11380/421690Titolo: On the closure of reachable sets for control systems.
Abstract: We prove a density result related to control systems with closed reachable set.
Sat, 01 Jan 1994 00:00:00 GMThttp://hdl.handle.net/11380/4216901994-01-01T00:00:00ZOn a class of nonconvex Bolza problems related to Blatz-Ko elastic materials.http://hdl.handle.net/11380/421704Titolo: On a class of nonconvex Bolza problems related to Blatz-Ko elastic materials.
Abstract: We study the existence of solutions to Bolza problems for a special class of one-dimensional, nonconvex integrals. These integrals describe the possibly singular, radial deformations of certain rubberlike materials called Blatz–Ko materials.
Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/11380/4217042007-01-01T00:00:00ZVectorial Hamilton-Jacobi equations with rank one affine dependence on the gradient.http://hdl.handle.net/11380/421812Titolo: Vectorial Hamilton-Jacobi equations with rank one affine dependence on the gradient.
Abstract: This paper deals with Dirichlet problems for vectorial, stationary Hamilton-Jacobi equations
Sat, 01 Jan 2000 00:00:00 GMThttp://hdl.handle.net/11380/4218122000-01-01T00:00:00ZMinimizing non-convex multiple integrals: a density result.http://hdl.handle.net/11380/421694Titolo: Minimizing non-convex multiple integrals: a density result.
Abstract: We consider variational problems whose lagrangian is of the form f(Du)+g(u) where f is a possibly non-convex lower semicontinuous function with p-growth at infinity for some 1 < p < ∞, and the boundary datum is any function in W 1,p (Ω). Assuming that the convex envelope of f is affine on each connected component of the set {f ^∗∗ < f }, we prove the existence of solutions to (P) for every continuous function g such that (i) g has no strict local minima and (ii) every convergent sequence of extremum points of g eventually belongs to an interval where g is constant, thus showing that the set of continuous functions g that yield existence to (P) is dense in the space of continuous functions on R.
Sat, 01 Jan 2000 00:00:00 GMThttp://hdl.handle.net/11380/4216942000-01-01T00:00:00ZA correction of the paper "On minima of radially symmetric functionals of the gradient"http://hdl.handle.net/11380/421814Titolo: A correction of the paper "On minima of radially symmetric functionals of the gradient"
Abstract: We prove a theorem for the existence of solutions to a variational problem, under assumptions that do not require the convexity of the integrand.
Tue, 01 Jan 2008 00:00:00 GMThttp://hdl.handle.net/11380/4218142008-01-01T00:00:00ZExact controllability of infinite dimensional systems with controls of minimal normhttp://hdl.handle.net/11380/1187430Titolo: Exact controllability of infinite dimensional systems with controls of minimal norm
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11380/11874302019-01-01T00:00:00ZOn the validity of the maximum principle and of the Euler-Lagrange equation for a minimum problem depending on the gradienthttp://hdl.handle.net/11380/8263Titolo: On the validity of the maximum principle and of the Euler-Lagrange equation for a minimum problem depending on the gradient
Abstract: We consider the limiting case alpha = infinity of the problem of minimizing integral(Omega) (\\del u(x)\\(alpha) + g(u))dx on u is an element of + u(0) + W-0(1, alpha) (Omega); where g is differentiable and strictly monotone. If this infimum is finite, it is evidently attained; we show that any minimizing function u satisfies the appropriate form of the Euler-Lagrange equation, i.e., for some function p, div p(x) = g'(u(x)) for p(x) is an element of partial derivative(jB)(del(x)); where j(B) is the indicator function of the closed unit ball in the Euclidean norm of R-N and partial derivative is the subdifferential of the convex function j(B).
Thu, 01 Jan 1998 00:00:00 GMThttp://hdl.handle.net/11380/82631998-01-01T00:00:00Z