Zobrazeno 1 - 10
of 791
pro vyhledávání: '"P, Giacomoni"'
In this article, we examine the H\"older regularity of solutions to equations involving a mixed local-nonlocal nonlinear nonhomogeneous operator $\fp + \fqs$ with singular data, under the minimal assumption that $p> sq$. The regularity result is twof
Externí odkaz:
http://arxiv.org/abs/2411.18505
In this paper, we study a class of eigenvalue problems involving both local as well as nonlocal operators, precisely the classical Laplace operator and the fractional Laplace operator in the presence of mixed boundary conditions, that is \begin{equat
Externí odkaz:
http://arxiv.org/abs/2411.16499
In this work, we study the existence, non-existence, and uniqueness results for nonlocal elliptic equations involving logarithmic Laplacian, and subcritical, critical, and supercritical logarithmic nonlinearities. The Poho\u zaev's identity and D\'ia
Externí odkaz:
http://arxiv.org/abs/2411.15985
In this paper, we prove the existence and the uniqueness of a weak and mild solution of the following nonlinear parabolic problem involving the porous $p$-fractional Laplacian: \begin{equation*} \begin{cases} \partial_t u+(-\Delta)^s_p(|u|^{m-1}u)=h(
Externí odkaz:
http://arxiv.org/abs/2411.14260
Autor:
Gomes Jr., Marcus N., Castro, Maria A. R. A., Castillo, Luis M. R., Sánchez, Mateo H., Giacomoni, Marcio H., de Paiva, Rodrigo C. D., Bates, Paul D.
Accurate flood modeling is crucial for effective analysis and forecasting. Full momentum hydrodynamic models often require extensive computational time, sometimes exceeding the forecast horizon. In contrast, low-complexity models, like local-inertial
Externí odkaz:
http://arxiv.org/abs/2410.09325
In this paper, we consider the following nonlocal parabolic equation \begin{equation*} u_{t}-\Delta u=\left( \int_{\Omega}\frac{|u(y,t)|^{2^{\ast}_{\mu}}}{|x-y|^{\mu}}dy\right) |u|^{2^{\ast}_{\mu}-2}u,\ \text{in}\ \Omega\times(0,\infty), \end{equatio
Externí odkaz:
http://arxiv.org/abs/2405.17285
Autor:
Gomes Jr., Marcus Nóbrega, Benites, Igor Matheus, Elsherif, Salma M., Taha, Ahmad F., Giacomoni, Marcio H.
Cost-effective water distribution network (WDN) design with acceptable pressure performance is crucial for the management of drinking water in cities. This paper presents a Microsoft Excel tool to model, simulate, and optimize WDNs with looped pipeli
Externí odkaz:
http://arxiv.org/abs/2405.09044
Autor:
Gomes Jr, Marcus Nóbrega, Taha, Ahmad F., Rápallo, Luis Miguel C., Mendiondo, Eduardo M., Giacomoni, Marcio H.
Detention ponds can mitigate flooding and improve water quality by allowing the settlement of pollutants. Typically, they are operated with fully open orifices and weirs (i.e., passive control). Active controls can improve the performance of these sy
Externí odkaz:
http://arxiv.org/abs/2403.04675
The present article investigates the existence, multiplicity and regularity of weak solutions of problems involving a combination of critical Hartree type nonlinearity along with singular and discontinuous nonlinearity. By applying variational method
Externí odkaz:
http://arxiv.org/abs/2309.07542
Hydrodynamic models with rain-on-the-grid capabilities are usually computationally expensive. This makes the use of automatic calibration algorithms hard to apply due to the large number of model runs. However, with the recent advances in parallel pr
Externí odkaz:
http://arxiv.org/abs/2308.16864