Zobrazeno 1 - 10
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pro vyhledávání: '"DE CICCO, VIRGINIA"'
In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight $w$ that does not exhibit doubling or Muckenhoupt-type conditions. In order to obtain an explicit representation of the relaxed functional and
Externí odkaz:
http://arxiv.org/abs/2412.05328
In this study, we approach the analysis of a degenerate nonlinear functional in one dimension, accommodating a degenerate weight w. Building upon recent findings from [9, 12], our investigation focuses on establishing an explicit relaxation formula f
Externí odkaz:
http://arxiv.org/abs/2404.02919
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular, in the case of essentially bounded divergence-measure fields, the fu
Externí odkaz:
http://arxiv.org/abs/2310.18730
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the research started in [17,20]. In particular, we extend a representatio
Externí odkaz:
http://arxiv.org/abs/2208.10812
Autor:
Crasta, Graziano, De Cicco, Virginia
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pair
Externí odkaz:
http://arxiv.org/abs/2207.06469
Autor:
De Cicco, Virginia, Scilla, Giovanni
We provide a sufficient condition for lower semicontinuity of nonautonomous noncoercive surface energies defined on the space of $GSBD^p$ functions, whose dependence on the $x$-variable is $W^{1,1}$ or even $BV$: the notion of nonautonomous symmetric
Externí odkaz:
http://arxiv.org/abs/2204.04989
Publikováno v:
In Journal of Functional Analysis 1 January 2024 286(1)
We introduce a family of pairings between a bounded divergence-measure vector field and a function $u$ of bounded variation, depending on the choice of the pointwise representative of $u$. We prove that these pairings inherit from the standard one, i
Externí odkaz:
http://arxiv.org/abs/1902.06052
Autor:
Crasta, Graziano, De Cicco, Virginia
Publikováno v:
J. Funct. Anal. 276 (2019), pp. 2605-2635
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by possible applications to evolutionary quasilinear problems. As a consequen
Externí odkaz:
http://arxiv.org/abs/1804.06249
Publikováno v:
Calculus of Variations and PDEs, 58(4), (2019)
In this paper, under very general assumptions, we prove existence and regularity of distributional solutions to homogeneous Dirichlet problems of the form $$\begin{cases} \displaystyle - \Delta_{1} u = h(u)f & \text{in}\, \Omega,\newline u\geq 0& \te
Externí odkaz:
http://arxiv.org/abs/1801.03444