Results 91 to 100 of about 95,793 (250)

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

-estimates for nonlinear elliptic problems with -growth in the gradient

Journal of Inequalities and Applications, 1999
We consider the Dirichlet problem for a class of nonlinear elliptic equations whose model is . We give a priori -estimates using symmetrization methods. An obstacle problem for nonlinear variational inequalities is also studied.
Rakotoson JM, Ferone V, Posteraro MR
doaj  

Bio‐inspired nanophotonics: Structural color, chirality, and resonance metasurfaces

InfoMat, EarlyView.
A butterfly‐wing‐inspired anisotropic plasmonic flatband resonant metasurface. Insets, photo of the butterfly, Sasakia charonda, and the SEM image of its wing scale (above); the SEM image of the metasurface (below). Abstract The dazzling colors of butterfly wings and hummingbird feathers are not painted with pigments, but crafted by nature's invisible ...
Weihan Liu, Yao Liang, Din Ping Tsai
wiley   +1 more source

Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source