Results 81 to 90 of about 95,301 (251)

Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Moroccan Journal of Pure and Applied Analysis, 2020
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
doaj   +1 more source

On a nonlinear elliptic eigenvalue problem

Journal of Mathematical Analysis and Applications, 2005
Let \(\Omega\) be a smooth bounded domain in \(\mathbb R^N\), \(N\geq2\), and \(f\in C(\mathbb R)\) satisfy \(\lim_{t\to0}f(t)/| t| ^{p-2}t=1\), where \(p\in(2,2N/(N-2))\). Let \(N(\lambda)\) denote the number of solutions of the problem \(-\Delta u=\lambda f(u)\) in \(\Omega\), \(u=0\) on \(\partial\Omega\).
Chen, Shaowei, Li, Shujie
openaire   +2 more sources

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

Nonlinear parabolic-elliptic system in Musielak-Orlicz-Sobolev spaces

Electronic Journal of Differential Equations, 2018
The existence of a capacity solution to the thermistor problem in the context of inhomogeneous Musielak-Orlicz-Sobolev spaces is analyzed. This is a coupled parabolic-elliptic system of nonlinear PDEs whose unknowns are the temperature inside a ...
Francisco Ortegon Gallego, Mohamed Rhoudaf, Hajar Sabiki   +2 more
doaj  

A Deep Learning Framework for Forecasting Medium‐Term Covariance in Multiasset Portfolios

Journal of Forecasting, EarlyView.
ABSTRACT Forecasting the covariance matrix of asset returns is central to portfolio construction, risk management, and asset pricing. However, most existing models struggle at medium‐term horizons, several weeks to months, where shifting market regimes and slower dynamics prevail.
Pedro Reis, Ana Paula Serra, João Gama
wiley   +1 more source

Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System

Academic Science Journal
This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint (EINC) controlled by quaternary nonlinear elliptic partial differential equations
Jamil Al-Hawasy, Haider H. Diwan, Waffa F. Keidan   +2 more
doaj   +1 more source

On local compactness in quasilinear elliptic problems

, 2007
One of the major difficulties in nonlinear elliptic problems involving critical nonlinearities is the compactness of Palais-Smale sequences. In their celebrated work \cite{BN}, Br\'ezis and Nirenberg introduced the notion of critical level for these ...
Adriouch, Khalid, Hamidi, Abdallah El
core   +2 more sources

Positive Solution to a Nonlinear Elliptic Problem

Potential Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Supercritical elliptic problem with nonautonomous nonlinearities

Journal of Differential Equations, 2012
The authors study the problem: \[ \begin{cases}-\Delta u=|x|^\alpha u^{p_\alpha -\epsilon} &\text{ in }\Omega\\ u>0 &\text{ in }\Omega\\ u=0 &\text{ on }\partial\Omega,\end{cases} \] where \(p_\alpha=\frac{N+2+2\alpha}{N-2}\), \(\Omega\) is a smooth bounded domain in \(\text{R}^{\text{N}}\), \(0\in \Omega\) and \(\alpha\in (0,1]\). They show that, for \
Francesca Gladiali, GROSSI, Massimo
openaire   +4 more sources

Analysing the Drivers of Cropland Footprint in Leading Agricultural Nations: Evidence From MMQR Approach

Geological Journal, EarlyView.
ABSTRACT Climate change represents the biggest current challenge for us and for future generations. Its impact on agriculture is undeniable, considering the food security goal. Thus, the cropland footprint has been distinguished as a comprehensive index for assessing the impact of environmental changes in agricultural areas determined by the increased ...
Ibrahim Cutcu, Magdalena Radulescu
wiley   +1 more source