Results 71 to 80 of about 95,301 (251)
Bifurcation for Nonlinear Elliptic Boundary Value Problems II
Tokyo Journal of Mathematics, 1996 Les auteurs étudient le problème d'ordre 2 dans \(\mathbb{R}^n\) \[ Au = f(x,u)\quad\text{ sur } D, \quad Bu=a {\partial u\over \partial \nu} + bu=0 \quad\text{ sur } \partial D. \] L'introduction d'inequations permet d'encadier les solutions et de montier l'existence d'une solution positive unique.
Taira, Kazuaki, Umezu, Kenichiro
openaire +4 more sources
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
Fish Scales: A Multifunctional Biomaterial from Nature
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Fish scales demonstrate nature's solution to impact protection through overlapping multilayered architecture. This biological design combines mineralized surfaces with collagen networks to achieve both flexibility and fracture resistance. The structural principles inspire advanced protective materials and biomedical implants, where damage tolerance ...
Liyao Dong, Xiaojie Sun, Xiguang Chen
wiley +1 more source
Symmetrization procedures for the isoperimetric problem in symmetric spaces of noncompact type
, 2005 We establish a new symmetrization procedure for the isoperimetric problem in symmetric spaces of noncompact type. This symmetrization generalizes the well known Steiner symmetrization in euclidean space.
John, Daniel
core +1 more source
Quasilinear Elliptic Problems Via Nonlinear Rayleigh Quotient
Asymptotic AnalysisIt is established existence and multiplicity of solution for the following class of quasilinear elliptic problems: {
Silva, Edcarlos D. +3 more
openaire +2 more sources
A Non-Linear Elliptic Eigenvalue Problem
IMA Journal of Applied Mathematics, 1979 The solutions (λ, u(x, y)) of ∇ 2u = -f(u) in the rectangleD(δ) ≡ {(x, y)|0 < x Y < t, 0 < y < 1 + δ}which have u=0 on the boundary of D(δ) are considered in detail for the cases f(u)=sinh u and f(u)=u-u 3. The trivial solution, where u=0, exists for all λ.
Budden, P, Norbury, J
openaire +1 more source
Bifurcation for an elliptic problem with nonlinear boundary conditions
Revista Integración, 2012 This paper gives a survey over bifurcation problems for elliptic equations with nonlinear boundary conditions depending on a real parameter. We consider an elliptic equation with a nonlinear boundary condition which is asymptotically linear at ...
Rosa Pardo
doaj +2 more sources
Quantifying Model Selection Uncertainty in Structural Analysis: Methodology and Application
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT With increasing focus on complex engineering systems under rare events, computational models are critical for predictions due to the scarcity or absence of data. However, selecting an appropriate model can be challenging. Using a single model without available test calibration could result in significant bias in performance predictions. A case
Ya‐Heng Yang, Tracy C. Becker
wiley +1 more source
Electronic Journal of Differential Equations, 2013 In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. First we show its well-posedness. Then we give the representation of
Guo-Chun Wen
doaj
Energy Science &Engineering, EarlyView.Aiming at the difficulties in accurately calculating the movement and deformation of small‐sized, deep‐buried dams with a significant height‐to‐depth ratio in deep fully mechanized caving mining, this study proposes to separate the analysis of surface and dam deformation.
Zhang Feng +7 more
wiley +1 more source