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pro vyhledávání: '"Nascimento, A M"'
In this work, we establish sharp and improved regularity estimates for viscosity solutions of Hardy-H\'{e}non-type equations with possibly singular weights and strong absorption governed by the $\infty$-Laplacian $$ \Delta_{\infty} u(x) = |x|^{\alpha
Externí odkaz:
http://arxiv.org/abs/2410.19970
Autor:
Santos, Laura M. S. dos, de Oliveira, Jonathas M., Nascimento, Sendy M. S. do, Sonsin, Artur F., Fonseca, Vitor M. L., Silva, Juliane P., Barreto, Emiliano, Mendonça, Cléber R., Jesus-Silva, Alcenísio J., Fonseca, Eduardo J. S.
In tissue engineering, 3D scaffolds and chemical treatments are often used for providing a cell-friendly surface for improving cell adhesion and tissue growth. Indeed, the cell adhesion degree can be controlled by physical-chemical changes in the sur
Externí odkaz:
http://arxiv.org/abs/2405.17160
Autor:
Nascimento, Thialita M.
In this paper, we examine regularity estimates for solutions to fully nonlinear, degenerated elliptic equations, at interior vanishing source points. At these points, we obtain Schauder-type regularity estimates, which depend on the H\"older-like sou
Externí odkaz:
http://arxiv.org/abs/2403.07211
We establish higher regularity properties of solutions to fully nonlinear elliptic equations at interior critical points. The key novelty of our estimates lies in the fact that they yield smoothness properties that go beyond the inherent regularity l
Externí odkaz:
http://arxiv.org/abs/2312.02932
In this work, we study and evaluate the impact of a periodic spin-lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon propagati
Externí odkaz:
http://arxiv.org/abs/2305.03127
The paradigm of big data is characterized by the need to collect and process data sets of great volume, arriving at the systems with great velocity, in a variety of formats. Spark is a widely used big data processing system that can be integrated wit
Externí odkaz:
http://arxiv.org/abs/2212.13647
We prove that if $u\in C^0(B_1)$ satisfies $F(x,D^2u) \le 0$ in $B_1\subset \mathbb{R}^2$, in the viscosity sense, for some fully nonlinear $(\lambda, \Lambda)$-elliptic operator, then $u \in W^{2,\varepsilon}(B_{1/2})$, with appropriate estimates, f
Externí odkaz:
http://arxiv.org/abs/2212.03314
Publikováno v:
In Zoologischer Anzeiger January 2025 314:1-9
We establish new quantitative Hessian integrability estimates for viscosity supersolutions of fully nonlinear elliptic operators. As a corollary, we show that the optimal Hessian power integrability $\varepsilon = \varepsilon(\lambda, \Lambda, n)$ in
Externí odkaz:
http://arxiv.org/abs/2204.06034
Autor:
Nascimento, Gabriel M., Ogoshi, Elton, Fazzio, Adalberto, Acosta, Carlos Mera, Dalpian, Gustavo M.
The development of spintronic devices demands the existence of materials with some kind of spin splitting (SS). In this Data Descriptor, we build a database of ab initio calculated SS in 2D materials. More than that, we propose a workflow for materia
Externí odkaz:
http://arxiv.org/abs/2201.09977