O 19. a 20. Hilbertově problému
Omogeneizzazione di funzionali debolmente quasi periodici
Sia quasiconvessa in , quasiperiodica in nel senso di Besicovitch e soddisfi le disuguaglianze: Allora può essere omogeneizzata: esiste una funzione che dipende solo da tale che i funzionali convergono, per tendente a (nel senso della -convergenza) a Inoltre si può dare una formula asintotica per .
On a Bernoulli problem with geometric constraints
A Bernoulli free boundary problem with geometrical constraints is studied. The domain Ω is constrained to lie in the half space determined by x1 ≥ 0 and its boundary to contain a segment of the hyperplane {x1 = 0} where non-homogeneous Dirichlet conditions are imposed. We are then looking for the solution of a partial differential equation satisfying a Dirichlet and a Neumann boundary condition simultaneously on the free boundary. The existence and uniqueness of a solution have already been addressed...
On a Bernoulli problem with geometric constraints
A Bernoulli free boundary problem with geometrical constraints is studied. The domain Ω is constrained to lie in the half space determined by x1 ≥ 0 and its boundary to contain a segment of the hyperplane {x1 = 0} where non-homogeneous Dirichlet conditions are imposed. We are then looking for the solution of a partial differential equation satisfying a Dirichlet and a Neumann boundary condition simultaneously on the free boundary. The existence and uniqueness of a solution have already been addressed...
On a boundary value problem in nonlinear theory of thin elastic plates
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001)....
On a class of multivalued variational inequalities.
On a class of nonlocal nonlinear elliptic problems
On a Class of Strongly Nonlinear Elliptic Varionational Inequalities.
On a class of variational integrals over BV varieties
We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.
On a class of variational problems with linear growth and radial symmetry
We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is established under rather weak ellipticity assumptions. Further results concern the radial symmetry of solutions as well as a precise description of their behavior near the boundary.
On a class of variational-hemivariational inequalities.
On a classical problem of the calculus of variations without convexity assumptions
On a contact problem for a viscoelastic von Kármán plate and its semidiscretization
We deal with the system describing moderately large deflections of thin viscoelastic plates with an inner obstacle. In the case of a long memory the system consists of an integro-differential 4th order variational inequality for the deflection and an equation with a biharmonic left-hand side and an integro-differential right-hand side for the Airy stress function. The existence of a solution in a special case of the Dirichlet-Prony series is verified by transforming the problem into a sequence of...
On a convolution operation obtained by adding level sets : classical and new results
On a functional depending on curvature and edges
On a gap phenomenon for isoperimetrically constrained variational problems.
On a generalization of the Dirichlet integral.
On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements.
On a Lagrange problem and its generalizations