Results 61 to 70 of about 475 (219)

Multiplicity of Solutions to a Potential Operator Equation and Its Applications

open access: yesAbstract and Applied Analysis, 2014
We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions.
Jincheng Huang
doaj   +1 more source

Characterizing Higher‐Order Ross More Risk Aversion by Comparison of Risk Compensation

open access: yesInternational Studies of Economics, EarlyView.
ABSTRACT This paper characterizes higher‐order Ross more risk aversion by means of risk compensation rather than the traditional risk premium. Our approach extends the willingness‐to‐accept (WTA) framework of Denuit and Eeckhoudt (2013) to a broader class of risk changes.
Zhen Huang, Guoqiang Tian, Yougong Tian
wiley   +1 more source

On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on

open access: yesBoundary Value Problems, 2009
We consider the existence of multiple solutions of the elliptic equation on with concave and convex nonlinearities.
Chen Kuan-Ju
doaj  

Coherent Stokes Raman Scattering for Simultaneous Measurement of CO2 and CH4 Temperatures

open access: yesJournal of Raman Spectroscopy, EarlyView.
A three‐beam hybrid fs/ps CSRS method is employed to excite the rovibrational transitions in the Fermi‐dyad of CO2$$ {}_2 $$ and the v2$$ {v}_2 $$ mode of CH4$$ {}_4 $$. Time‐domain spectroscopic models are developed to extract the fuel and flame temperature profiles from experimental CH4$$ {}_4 $$ and CO2$$ {}_2 $$ spectra in a diffusion flame ...
Alexander M. Warner   +3 more
wiley   +1 more source

On the existence threshold for positive solutions of p-Laplacian equations with a concave–convex nonlinearity [PDF]

open access: yesCommunications in Contemporary Mathematics, 2015
We study the following boundary value problem with a concave–convex nonlinearity: [Formula: see text] Here Ω ⊂ ℝnis a bounded domain and 1 < q < p < r < p*. It is well known that there exists a number Λq, r> 0 such that the problem admits at least two positive solutions for 0 < Λ < Λq, r, at least one positive solution for Λ = Λq ...
Charro, Fernando, Parini, Enea
openaire   +4 more sources

Characteristics and Influencing Factors of Soil Shear Strength in Gully Erosion at Different Developmental Segments of Subalpine Meadows

open access: yesLand Degradation &Development, EarlyView.
ABSTRACT Subalpine meadows play important roles in biodiversity conservation and soil carbon sequestration, but gully erosion poses a serious threat to their ecological stability. Soil shear strength (τ) is a key mechanical parameter for evaluating gully stability and soil resistance to failure. However, the spatial variation in soil shear strength and
Xiaofeng Yang   +9 more
wiley   +1 more source

Multiple solutions for p-Laplacian problems involving general subcritical growth in bounded domains

open access: yesElectronic Journal of Differential Equations, 2016
Using variational methods, we study the existence of multiple solutions for a class of p-Laplacian problems with concave-convex nonlinearities in bounded domains. Our result improves those in [8,9] stated only for subcritical growth.
Nguyen Thanh Chung   +2 more
doaj  

Bayesian Optimization of Grayscale Patterns for Layer‐Height Accuracy in Projection Multi‐Photon 3D Printing

open access: yesLaser &Photonics Reviews, EarlyView.
Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley   +1 more source

Mechanical Properties and Testing Strategies for Two‐Photon Lithography: A Review of Current Practices and Emerging Challenges

open access: yesLaser &Photonics Reviews, EarlyView.
Two‐photon lithography enables the fabrication of complex 3D microstructures with tunable mechanical properties spanning from soft hydrogels to rigid hybrid networks. This review summarizes how material composition, printing parameters, and post‐processing govern stiffness and viscoelasticity, highlighting advanced characterization methods and emerging
Dalila Fontana   +6 more
wiley   +1 more source

Laplace’s equation with concave and convex boundary nonlinearities on an exterior region

open access: yesBoundary Value Problems, 2019
This paper studies Laplace’s equation −Δu=0 $-\Delta u=0$ in an exterior region U⊊RN $U\varsubsetneq {\mathbb{R}}^{N}$, when N≥3 $N\geq 3$, subject to the nonlinear boundary condition ∂u∂ν=λ|u|q−2u+μ|u|p−2u $\frac{\partial u}{\partial \nu }=\lambda \vert
Jinxiu Mao, Zengqin Zhao, Aixia Qian
doaj   +1 more source

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