Results 61 to 70 of about 475 (219)
Multiplicity of Solutions to a Potential Operator Equation and Its Applications
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
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
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
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]
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
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
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 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
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
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

