Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Cianchi, Andrea"'
Existence and global regularity results for boundary-value problems of Robin type for harmonic and polyharmonic functions in $n$-dimensional half-spaces are offered. The Robin condition on the normal derivative on the boundary of the half-space is pr
Externí odkaz:
http://arxiv.org/abs/2406.15257
Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized) Campanato and Morrey spaces on open subsets of the $n$-dimensional Euclidean space. As a co
Externí odkaz:
http://arxiv.org/abs/2404.09702
Necessary and sufficient conditions are presented for a fractional Orlicz-Sobolev space on $\rn$ to be continuously embedded into a space of uniformly continuous functions. The optimal modulus of continuity is exhibited whenever these conditions are
Externí odkaz:
http://arxiv.org/abs/2401.14667
Autor:
Cianchi, Andrea, Schäffner, Mathias
Local minimizers of integral functionals of the calculus of variations are analyzed under growth conditions dictated by different lower and upper bounds for the integrand. Growths of non-necessarily power type are allowed. The local boundedness of th
Externí odkaz:
http://arxiv.org/abs/2309.16803
We deal with boundary value problems for second-order nonlinear elliptic equations in divergence form, which emerge as Euler-Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradien
Externí odkaz:
http://arxiv.org/abs/2307.03052
Autor:
Breit, Dominic, Cianchi, Andrea
Embeddings among fractional Orlicz-Sobolev spaces with different smoothness are characterized. The equivalence of their Gagliardo-Slobodeckij norms to norms defined via Littlewood-Paley decompostions, via oscillations, or via Besov type difference qu
Externí odkaz:
http://arxiv.org/abs/2302.10839
Publikováno v:
Journal of Differential Equations 359 (2023), 414-475
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria for their validity in the class of rearrangement-invariant function n
Externí odkaz:
http://arxiv.org/abs/2209.14193
Autor:
Cianchi, Andrea, Salani, Paolo
We deal with Monge-Amp\`ere type equations modeled upon general anisotropic norms $H$ in $\mathbb R^n$. An overdetermined problem for convex solutions to these equations is analyzed. The relevant solutions are subject to both a homogeneous Dirichlet
Externí odkaz:
http://arxiv.org/abs/2209.03194
A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces embedded into the space of continuous function and Hausdorff measures
Externí odkaz:
http://arxiv.org/abs/2208.08152
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into $L^\infty(\mathbb R^n)$ is exhibited. Under the same assumption, any function from the relevant fractional-order spaces is shown to be continuo
Externí odkaz:
http://arxiv.org/abs/2207.10597