Anna Verde
University of Naples Federico II
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Featured researches published by Anna Verde.
Forum Mathematicum | 2008
Mikil Foss; Antonia Passarelli di Napoli; Anna Verde
Abstract We prove some global, up to the boundary of a domain Ω ⊂ ℝ n , continuity and Morrey regularity results for almost minimizers of functionals of the form . The main assumptions are that g is asymptotically convex and that it has superlinear polynomial growth with respect its third argument. The integrand is only required to be locally bounded with respect to its third argument. Some discontinuous behavior with respect to its other arguments is also allowed. We also provide an application of our results to a class of variational problems with obstacles.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2006
Nicola Fusco; Chiara Leone; Anna Verde; Riccardo March
We prove a semicontinuity theorem for an integral functional made up by a polyconvex energy and a surface term. Our result extends to the BV framework a well known result by John Ball.
Siam Journal on Mathematical Analysis | 2012
Lars Diening; Daniel Lengeler; Bianca Stroffolini; Anna Verde
We prove a partial regularity result for local minimizers of quasiconvex variational integrals with general growth. The main tool is an improved A-harmonic approximation, which should be interesting also for classical growth.The convex hull property is the natural generalization of maximum principles from scalar to vector valued functions. Maximum principles for finite element approximations are often crucial for the preservation of qualitative properties of the respective physical model. In this work we develop a convex hull property for
Calculus of Variations and Partial Differential Equations | 2017
Lars Diening; Sebastian Schwarzacher; Bianca Stroffolini; Anna Verde
Siam Journal on Mathematical Analysis | 2010
Virginia De Cicco; Chiara Leone; Anna Verde
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Communications in Contemporary Mathematics | 2018
Dominic Breit; Bianca Stroffolini; Anna Verde
Calculus of Variations and Partial Differential Equations | 2018
Pierre Bousquet; Lorenzo Brasco; Chiara Leone; Anna Verde
conforming finite elements on simplicial non-obtuse meshes. The proof does not resort to linear structures of partial differential equations but directly addresses properties of the minimiser of a convex energy functional. Therefore, the result holds for very general nonlinear partial differential equations including e.g. the
Advances in Calculus of Variations | 2018
Miroslav Bulíček; Giovanni Cupini; Bianca Stroffolini; Anna Verde
Studia Mathematica | 2011
Anna Verde
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Manuscripta Mathematica | 2009
Lars Diening; Bianca Stroffolini; Anna Verde