Results 111 to 120 of about 1,320,220 (331)

A free boundary problem for the p-Laplacian: uniqueness, convexity, and successive approximation of solutions

Electronic Journal of Differential Equations, 1995
classical solution of a Bernoulli-type free boundary problem for the $p$-Laplace equation, $ 1 < p < infty $. In addition, we prove the existence of a classical solution in $N$ dimensions when $p = 2$ and, for $ 1 < p < infty $, results on uniqueness and
A. Acker, R. Meyer
doaj  

On Construction of Solutions of Hyperbolic Kirchhoff-Type Problems Involving Free Boundary and Volume Constraint

Mathematics
In this paper, we have undertaken the challenging and novel task of establishing the existence of weak solutions for four types of hyperbolic Kirchhoff-type problems: the classical hyperbolic Kirchhoff problem, the problem with a free boundary, the ...
Fatima Ezahra Bentata, Ievgen Zaitsev, Kamel Saoudi, Vladislav Kuchanskyy   +3 more
doaj   +1 more source

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

Copper‐based Materials for Photo and Electrocatalytic Process: Advancing Renewable Energy and Environmental Applications

Advanced Functional Materials, EarlyView.
Cu‐based catalysts as a cornerstone in advancing sustainable energy technologies are fully reviewed in this manuscript, highlighting their potential in photo‐ and electrocatalysis. It includes metallic copper, copper oxides, copper sulfides, copper halide perovskites, copper‐based metal–organic frameworks (MOFs), and covalent organic frameworks (COFs),
Jéssica C. de Almeida, Yanjie Wang, Thais A. Rodrigues, Paulo H. H. Nunes, Vagner R. de Mendonça, Paulo H. E. Falsetti, Leticia V. Savazi, Tao He, Alexandra V. Bardakova, Aida V. Rudakova, Jie Tian, Alexei V. Emeline, Osmando F. Lopes, Antonio Otavio T. Patrocínio, Jia Hong Pan, Caue Ribeiro, Detlef W. Bahnemann   +16 more
wiley   +1 more source

A minimization problem with free boundary for p-Laplacian weakly coupled system

Advances in Nonlinear Analysis
In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
Fotouhi Morteza, Shahgholian Henrik
doaj   +1 more source

A free boundary problem describing the saturated-unsaturated flow in a porous medium

Abstract and Applied Analysis, 2004
This paper presents a functional approach to a nonlinear model describing the complete physical process of water infiltration into an unsaturated soil, including the saturation occurrence and the advance of the wetting front. The model introduced in this
Gabriela Marinoschi
doaj   +1 more source

Z‐Scheme Water Splitting Systems Based on Solid‐State Electron Conductors

Advanced Functional Materials, EarlyView.
This review examines the latest advances in Z‐scheme overall water splitting (OWS) systems for solar hydrogen production. These systems consist of suspended or immobilized hydrogen evolution photocatalysts (HEPs) and oxygen evolution photocatalysts (OEPs).
Chen Gu, Takashi Hisatomi, Tsuyoshi Takata, Kazunari Domen   +3 more
wiley   +1 more source

Dynamics of the discrete-time man-environment-man epidemic model with a free boundary

Networks and Heterogeneous Media
In this paper, we investigate the discrete-time man-environment-man epidemic model with a free boundary, which can be viewed as a time-discrete version of the free boundary model studied by Ahn, Beak, and Lin.
Jian Feng, Meng Zhao
doaj   +1 more source

The Influence of Annealing on the Sb Layer in the Synthesis of [001]‐Oriented Sb2Se3 Film for Photoelectrochemical Hydrogen Gas Generation

Advanced Functional Materials, EarlyView.
[001]‐oriented Sb2Se3 film with improved crystallinity and adjusted composition is achieved via a new thermal treatment approach consisting of preliminary annealing of the Sb layer before its selenization. The findings of this work demonstrate enhanced charge carriers' transportation, a stable performance, and an improvement of H2 generation from ...
Magno B. Costa, Moisés A. de Araújo, Joaquim Puigdollers, Pablo Ortega, Teresa Andreu, Cristobal Voz, Edgardo Saucedo, Lucia H. Mascaro   +7 more
wiley   +1 more source

Isoperimetric inequality for an interior free boundary problem with p-laplacian operator

Electronic Journal of Differential Equations, 2004
By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli ...
drissa Ly, Diaraf Seck
doaj