Nonlinear elliptic equations - Open Access .click

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Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.

PLoS ONE
By using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj +1 more source

Nonlinear elliptic equations [PDF]

Czechoslovak Mathematical Journal, 1969
openaire +1 more source

Risk Forecasting in Shipping Exchange‐Traded‐Fund (ETF) Markets

International Journal of Finance &Economics, EarlyView.
ABSTRACT This article examines the risk properties of freight‐derivative‐based exchange‐traded funds (ETFs), focusing on the Breakwave Dry Bulk Shipping ETF (BDRY), and evaluates the accuracy of Value‐at‐Risk (VaR) and Expected Shortfall (ES) forecasts across a range of econometric models.
Christos Katris +2 more
wiley +1 more source

The Dirichlet problem for nonlinear elliptic equations [PDF]

Pacific Journal of Mathematics, 1955
openaire +3 more sources

Fully nonlinear elliptic equations

, 1995
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations.
Caffarelli, Luis A, Cabré, Xavier
core

Pseudomagnetic fields for classical waves in two‐dimensional artificial lattices: Mechanisms and applications

InfoScience, EarlyView.
Pseudomagnetic fields make light and sound emulate charged particles in magnetic fields, enabling magnetic‐free signal processing. This Review summarizes their origins, three implementations in two‐dimensional artificial lattices, and applications in energy localization and robust transport, guiding the design of topological integrated devices ...
Shuaihu Liu +5 more
wiley +1 more source

Cytotoxic and Oxidative Effects of Common Pesticides on Hepatic and Renal Cell Lines (HepG2 and Hek‐293): Implications for Human Health and Environmental Safety

Journal of Applied Toxicology, EarlyView.
ABSTRACT Modern agricultural practices expose humans and the environment to numerous chemical pesticides. Increasing evidence suggests that commercial pesticide formulations may exhibit toxicological properties that differ from those of their active ingredients alone due to the presence of co‐formulants and additives. This study evaluated the cytotoxic
Fares Elghali +3 more
wiley +1 more source

Extreme Optical Field Confinement and Enhancement in a Plasmonic Picopatch Within a Nanoparticle‐on‐Mirror Resonator

Laser &Photonics Reviews, EarlyView.
A picopatch in a plasmonic nanocavity confines the electromagnetic energy to tiny effective volumes, close to 1nm3, leading to extreme electric field enhancements. Furthermore, a clear signature of strong coupling between the picopatch modes and other modes of the structure is obtained, which strongly modifies the far‐field response. ABSTRACT Plasmonic
Jinna He +6 more
wiley +1 more source

Projection schemes for stochastic partial differential equations

, 2009
The focus of the present work is to develop stochastic reduced basis methods (SRBMs) for solving partial differential equations (PDEs) defined on random domains and nonlinear stochastic PDEs (SPDEs).
Prerapa, Surya Mohan
core +1 more source

Color Symmetry Breaking in a Nonlinear Optical Microresonator

Laser &Photonics Reviews, EarlyView.
A two‐color pump drives an integrated microring resonator into spontaneous color symmetry breaking mediated by the nonlinear Kerr effect. Above threshold, one optical color becomes spontaneously dominant while the other is submissive, with the selected output state emerging randomly. These results establish a new form of symmetry breaking in integrated
Luca O. Trinchão +10 more
wiley +1 more source

mathematics
elliptic equations