Zobrazeno 1 - 10
of 79
pro vyhledávání: '"De Luca, Alessandra"'
Autor:
De Luca, Alessandra
The present paper aims at representing an improvement of the result in [2], where a strong unique continuation property and a description of the local behaviour around the edge of a crack for solutions to an elliptic problem are established, by relax
Externí odkaz:
http://arxiv.org/abs/2407.18830
We provide fine asymptotics of solutions of fractional elliptic equations at boundary points where the domain is locally conical; that is, corner type singularities appear. Our method relies on a suitable smoothing of the corner singularity and an ap
Externí odkaz:
http://arxiv.org/abs/2405.12718
Publikováno v:
Milan J. Math., 92 (2024), 195-234
In this paper we deal with a reaction-diffusion equation in a bounded interval of the real line with a nonlinear diffusion of Perona-Malik's type and a balanced bistable reaction term. Under very general assumptions, we study the persistence of layer
Externí odkaz:
http://arxiv.org/abs/2303.13644
We investigate unique continuation properties and asymptotic behaviour at boundary points for solutions to a class of elliptic equations involving the spectral fractional Laplacian. An extension procedure leads us to study a degenerate or singular eq
Externí odkaz:
http://arxiv.org/abs/2301.11677
Autor:
Franzoi, Isabella Giulia, Sauta, Maria Domenica, De Luca, Alessandra, Barbagli, Francesca, Granieri, Antonella
Publikováno v:
In Journal of Pain and Symptom Management November 2024 68(5):e347-e355
We study a nonlocal capillarity problem with interaction kernels that are possibly anisotropic and not necessarily invariant under scaling. In particular, the lack of scale invariance will be modeled via two different fractional exponents $s_1, s_2\i
Externí odkaz:
http://arxiv.org/abs/2202.03823
Publikováno v:
Adv. Math. 400 (2022), 1-67
We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a blow-up procedure which involves some Almgren type monotonicity formula
Externí odkaz:
http://arxiv.org/abs/2103.04665
Autor:
De Luca, Alessandra, Felli, Veronica
In this work we develop an Almgren type monotonicity formula for a class of elliptic equations in a domain with a crack, in the presence of potentials satisfying either a negligibility condition with respect to the inverse-square weight or some suita
Externí odkaz:
http://arxiv.org/abs/2004.11177
Publikováno v:
In Advances in Mathematics 14 May 2022 400