Papers 2001
- G. Alberti (Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8))
Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque (2001) - R. Alicandro - M. Focardi - M. S. Gelli (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
Finite-Difference Approximation of Energies in Fracture Mechanics (2001) - R. Alicandro - C. Leone (COCV)
3D-2D Asymptotic Analysis for Micromagnetic Thin Films (2001) - L. Ambrosio (Advances in Mathematics)
Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces (2001) - L. Ambrosio - V. Caselles - S. Masnou - J. M. Morel (Journal of EMS. )
Connected Components of Sets of Finite Perimeter and Applications to Image Processing (2001) - L. Ambrosio - L. Faina - R. March (SIAM J. Math. Anal.)
Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision (2001) - N. Ansini - A. Braides (J. d'Analyse Mathématique)
Homogenization of Oscillating Boundaries and Applications to Thin Films (2001) - N. Ansini - A. Braides (Acta Appl. Math.)
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. (2001) - N. Ansini - F. Ebobisse (Adv. Math. Sci. Appl.)
Homogenization of periodic multi-dimensional structures: The linearly elastic/perfectly plastic case (2001) - S. Baldo - G. Orlandi (Ann. Global Anal. Geom.)
Fiber bundles and regular approximation of codimension-one cycles (2001) - M. Balzano - T. Durante (Accepted Paper: Boll. Un. Mat. It.)
The p-laplacian in domains with small random holes (2001) - E. Barucci - S. Polidoro - V. Vespri (M3AS)
Some results on partial differential equations and Asian options (2001) - G. Bellettini (Proc. of the 3th. European Conference on Math., Barcellona 2000)
Some aspects of motion by mean curvature in presence of nonsmooth anisotropies (2001) - G. Bellettini - P. Buttà - E. Presutti (Arch. Rational Mech. Anal.)
Sharp interface limits of non local anisotropic interactions (2001) - G. Bellettini - G. Fusco (Asymp. Anal.)
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations (2001) - G. Bellettini - M. Novaga - M. Paolini (Interfaces and Free Boundaries)
Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case (2001) - G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity (2001) - G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets (2001) - F. Bethuel - J. Bourgain - H. Brezis - G. Orlandi (C.R. Acad. Sc. Paris Serie 1)
$W^{1,p}$ estimates for solutions to the Ginzburg-Landau equation with boundary data in $H^{1/2}$ (2001) - F. Bethuel - H. Brezis - G. Orlandi (J. Funct. Anal.)
Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions (2001) - E. Bini - G. Buttazzo - G. Buttazzo (IEEE Proceedings of the 13th Euromicro Conference on Real-Time Systems)
A hyperbolic bound for the rate monotonic algorithm (2001) - G. Bouchitté - G. Buttazzo - I. Fragalà (J. Geom. Anal.)
Convergence of Sobolev Spaces on Varying Manifolds (2001) - G. Bouchitté - I. Fragalà (SIAM J. Math. Anal.)
Homogenization of thin structures by two-scale method with respect to measures (2001) - A. Briani - F. Rampazzo (SIAM J. Control Optim.)
Lie Algebraic Obstructions to Gamma-Convergence of Optimal Control Problems (2001) - D. Bucur - G. Buttazzo - N. Varchon (SIAM J. Optim.)
On the problem of optimal cutting (2001) - G. Buttazzo - L. De Pascale - I. Fragalà (Discrete Contin. Dinam. Systems)
Topological Equivalence of Some Variational Problems Involving Distances (2001) - G. Buttazzo - C. Timofte (Preprint)
On The Relaxation of Some Optimal Partition Problems (2001) - E. Cabib - L. Freddi - A. Morassi - D. Percivale (J. Elasticity)
Thin Notched Beams (2001) - L. Capogna - N. Garofalo (Accepted Paper: Journal of the European Mathematical Society)
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type (2001) - L. Carbone - D. Cioranescu - R. De Arcangelis - A. Gaudiello (C. R. Acad. Sci. Paris Sér. I Math. )
An Approach to the Homogenization of Nonlinear Elastomers via the Theory of Unbounded Functionals (2001) - L. Carbone - R. De Arcangelis (Atti della Accademia Nazionale dei Lincei, Rendiconti di Matematica e Applicazioni 9)
On the Unique Extension Problems for Functionals of the Calculus of Variations (2001) - L. Carbone - R. De Arcangelis (Published Book: Monographs and Surveys in Pure and Applied Mathematics 125, Chapman & Hall/CRC)
Unbounded Functionals in the Calculus of Variations. Representation, Relaxation, and Homogenization (2001) - G. Cardone - A. Corbo Esposito - L. Faella (Preprint)
Hausdorff dimension for level sets of upper and lower limits of generalized averages of binary digits (2001) - G. Cardone - A. Corbo Esposito - G. Yosifian - V. V. Zhikov (Preprint)
Homogenization of some problems with gradient constraints (2001) - G. Cardone - A. Corbo Esposito - V. V. Zhikov (Submitted Paper: Applicable Analysis)
A compactness result for a class of nonstandard lagrangians in the case of elasticity (2001) - M. Carriero - A. Leaci - F. Tomarelli
Density estimates and further properties of Blake & Zisserman functional (2001) - P. Cermelli - G. Leoni (Archive Rational Mech. and Anal.)
Interfacial energies for incoherent inclusions (2001) - T. Champion - L. De Pascale (Accepted Paper)
On the power law asymptotics for a model of dielectric breakdown (2001) - N. Chaudhuri (Ph.D. Thesis: Department of Mathematics, Indian Institute of Science, Bangalore 12, India)
On Improved Hardy-Sobolev Inequality and its Application to Certain Singular Problems (2001) - F. Colombo (Differential and Integral Equations)
A quasilinear parabolic inverse problem in Holder spaces (2001) - F. Colombo (Journal of Mathematical Analysis and Applications)
Direct and inverse problem for a phase field model with memory (2001) - F. Colombo (Submitted Paper)
Quasilinear Systems with Memory Kernels (2001) - F. Colombo - D. Guidetti - A. Lorenzi (Submitted Paper)
Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains (2001) - S. Conti - C. De Lellis (Ann. Scuola Norm. Sup. Cl. Sci. (5))
Some remarks on the theory of elasticity for compressible Neohookean materials (2001) - G. Cupini - R. Petti (Rend. Mat. Appl)
Morrey spaces and local regularity of minimizers of variational integrals (2001) - G. Dal Maso (Preprint)
Solutions of Neumann problems in domains with cracks and applications to fracture mechanics (2001) - G. Dal Maso - H. Frankowska (Conference proceedings: Optimal Control and Partial Differential Equations. In honour of Professor Alain Bensoussan 60th Birthday (Paris, 2000), J.L. Menaldi, E. Rofman, A. Sulem ed., IOS Press, Amsterdam)
Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations (2001) - G. Dal Maso - I. V. Skrypnik (Adv. Math. Sci. Appl.)
A monotonicity approach to nonlinear Dirichlet problems in perforated domains (2001) - G. Dal Maso - P. Trebeschi (Acta Appl. Math.)
$\Gamma$-limit of Periodic Obstacles (2001) - D. Danielli - N. Garofalo (Preprint)
Green functions in nonlinear potential theory in Carnot groups and the geometry of their level sets (2001) - D. Danielli - N. Garofalo (Accepted Paper: Calculus of Variations)
Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions (2001) - D. Danielli - N. Garofalo - S. Salsa (Accepted Paper: Indiana University Math J)
Variational inequalities with lack of ellipticity. Part I: optimal interior regularity and non-degeneracy of the free boundary (2001) - D. Danielli - A. Petrosyan - H. Shahgholian (Accepted Paper: Indiana Univ. Math. Jour.)
A singular perturbation problem for the p-Laplace operator (2001) - C. De Lellis - G. Royer Carfagni (Journal of Elasticity)
Interaction of fractures in tensile bars with non local spatial displacement (2001) - U. De Maio - L. Faella - C. Perugia (Accepted Paper: Italian Journal of Pure and Applied Mathematics)
Homothetic changes of variables and the unique extension problem of Calculus of Variations (2001) - L. De Pascale (Indiana University Mathematics Journal)
Morse-Sard Theorem in Sobolev Spaces (2001) - L. De Pascale (Ph.D. Thesis)
Morse-Sard theorem in Sobolev Spaces---Optimal transport problems and applications (2001) - S. Delladio (Ann. Mat. Pura ed Appl. )
First variation formula for generalized Gauss graphs (2001) - S. Delladio (Math. Z.)
Generalized Unit Normal Bundles (2001) - N. Dirr - S. Luckhaus - M. Novaga (Calc. Var. and Partial Differential Eqs.)
A stochastic selection principle in case of fattening for curvature flow (2001) - F. Ebobisse - R. Toader (Accepted Paper: Rend. Mat. Appl. (7))
A note on the integral representation of functionals in the space SBD$(\Omega)$ (2001) - A. Ferriero (Degree Thesis)
Funzioni armoniche: convergenza tangenziale e non-tangenziale (2001) - A. Fiorenza - A. Mercaldo - J. M. Rakotoson (Applied Mathematics Letters)
Regularity and Comparison Results in Grand Sobolev Spaces for Parabolic Equations with Measure Data (2001) - A. Fiorenza - J. M. Rakotoson (Accepted Paper: Mathematische Annalen)
New properties of small Lebesgue spaces and their applications (2001) - M. Flucher - A. Garroni - S. Mueller (Calc. Var.)
Concentration of low energy extremals: Identification of concentration points (2001) - M. Focardi (Math. Models Methods Appl. Sci.)
On the Variational Approximation of Free-Discontinuity Problems in the Vectorial Case (2001) - M. Focardi - E. Mascolo (Journal of Convex Analysis)
Lower semicontinuity for quasiconvex functionals with non standard growth (2001) - G. Follo (Ph.D. Thesis)
Generalized self similar fractals and invariant energies (2001) - G. Follo (Georgian Math. J.)
Some remarks on fractals generated by sequence of finite systems of contractions (2001) - B. Franchi - R. Serapioni - F. Serra Cassano (Math.Ann.)
Rectifiability and Perimeter in the Heisenberg Group (2001) - A. Garroni - V. Nesi - M. Ponsiglione (Proc. R. Soc. Lond. A)
Dielectric breakdown: optimal bounds (2001) - M. S. Gelli - G. Royer Carfagni (Submitted Paper)
Separation of scales in Fracture Mechanics. From molecular to continuum theory {\sl via} $\Gamma$-convergence. (2001) - F. Giannetti - A. Verde (Ann. Fac. Sci. Toulouse Math.)
Lower semicontinuity of a class of multiple integrals below the growth exponent (2001) - F. Giannetti - A. Verde (Ann. Fac. Sci. Toulouse Math.)
Lower semicontinuity of a class of multiple integrals below the growth exponent (2001) - T. Iwaniec - C. Sbordone (Ann. I. H. Poincaré - AN)
Quasiharmonic Fields (2001) - G. P. Leonardi (Proceedings of the Royal Society of Edinburgh)
Infiltrations in immiscible fluids systems (2001) - F. Leonetti - E. Mascolo - F. Siepe (Bollettino UMI)
Gradient regularity for minimizers of functionals under $p-q$ subquadratic growth " (2001) - V. Magnani (Houston J. Math.)
Differentiability and Area formula on Stratified Lie groups (2001) - A. Marino - D. Mugnai (Accepted Paper)
Asymptotical multiplicity and some reversed variational inequalities (2001) - A. Marino - D. Mugnai (Accepted Paper)
Asymptotically critical points and their multiplicity (2001) - R. Monti (Phd Thesis)
Distances, boundaries and surface measures in Carnot-Caratheodory spaces (2001) - R. Monti - F. Serra Cassano (Calc. Var. Partial Differential Equations)
Surface measures in Carnot- Caratheodory spaces (2001) - M. G. Mora (Ph.D. Thesis)
The calibration method for free-discontinuity problems on small domains (2001) - M. G. Mora - M. Morini (Ann. Inst. H. Poincaré Anal. Nonlin.)
Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set (2001) - S. J. N. Mosconi (Submitted Paper)
Discrete regularity for elliptic equations on graphs (2001) - S. J. N. Mosconi - P. Tilli (Calculus of Variations)
Variational problems with several volume constraints on the level sets (2001) - D. Mucci (J.Eur.Math.Soc.)
A Characterization of Graphs which can be Approximated in Area by Smooth Graphs (2001) - D. Mugnai
On a "reversed" variational inequality (2001) - M. Negri - M. Paolini (Calcolo)
Numerical minimization of the Mumford-Shah functional (2001) - C. Nirmalendu - M. Ramaswamy (Proc. Roy. Soc. EEdinburgh Sect. A 131 (2001), 1275--1295)
Existence of positive solutions for some semilinear elliptic equations with singular coefficients (2001) - M. Novaga (Boll. UMI)
Soluzioni di tipo barriera (2001) - F. Paronetto (Accepted Paper: Asymptotic Analysis)
Homogenization of degenerate elliptic-parabolic equations (2001) - F. Paronetto (J. of Convex Analysis)
Some new results on the convergence of degenerate elliptic and parabolic equations (2001) - G. Scianna (Preprint)
Global Existence for a Two-Phase Stefan Problem with Interior Control and Discontinuity at the Interface (2001) - E. Stepanov - A. Zdorovtsev (J. Convex Anal.)
Relaxation of some nonlocal integral functionals in weak topology of Lebesgue spaces (2001)