Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Verde, Anna"'
An Ahlfors-type regularity result for free-discontinuity energies defined on the space $SBV^{\varphi}$ of special functions of bounded variation with $\varphi$-growth, where $\varphi$ is a generalized Orlicz function, is proved. Our analysis expands
Externí odkaz:
http://arxiv.org/abs/2405.06625
A regularity result for free-discontinuity energies defined on the space $SBV^{p(\cdot)}$ of special functions of bounded variation with variable exponent is proved, under the assumption of a log-H\"older continuity for the variable exponent $p(x)$.
Externí odkaz:
http://arxiv.org/abs/2303.01951
We prove a new $\mathcal{A}$-caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the type $$ u_{t}- {\rm div} \,a(Du)=0. $$ Here the growth of $a$ is bound
Externí odkaz:
http://arxiv.org/abs/2203.11046
Publikováno v:
Commun. Pure Appl. Anal. (2021)
In this paper we prove a H\"older partial regularity result for weak solutions $u:\Omega\to \mathbb{R}^N$, $N\geq 2$, to non-autonomous elliptic systems with general growth of the type: \begin{equation*} -\rm{div}\, a(x, u, Du)= b(x, u, Du) \quad \mb
Externí odkaz:
http://arxiv.org/abs/2108.13829
We consider a quasilinear degenerate parabolic equation driven by the orthotropic $p-$Laplacian. We prove that local weak solutions are locally Lipschitz continuous in the spatial variable, uniformly in time.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2105.04108
We prove global Lipschitz regularity for a wide class of convex variational integrals among all functions in $W^{1,1}$ with prescribed (sufficiently regular) boundary values, which are not assumed to satisfy any geometrical constraint (as for example
Externí odkaz:
http://arxiv.org/abs/1802.09934
We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $p\ge 2$ and in every dimension. More generally, the result holds true for more degenerate equations with orthotropic structure, with right-h
Externí odkaz:
http://arxiv.org/abs/1708.09739
Publikováno v:
Advances in Calculus of Variations, 2017
We prove existence and regularity results for weak solutions of non linear elliptic systems with non variational structure satisfying $(p,q)$-growth conditions. In particular we are able to prove higher differentiability results under a dimension-fre
Externí odkaz:
http://arxiv.org/abs/1611.03549
We prove higher differentiability of bounded local minimizers to some widely degenerate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional case, we prove that local minimizers to a model functional are locally
Externí odkaz:
http://arxiv.org/abs/1604.04189
Publikováno v:
Ann. Acad. Sci. Fenn. Math. 41 (2016), 817-844
We prove partial regularity for minimizers of vectorial integrals of the Calculus of Variations, with general growth condition, imposing quasiconvexity assumptions only in an asymptotic sense.
Externí odkaz:
http://arxiv.org/abs/1601.07806