Results 101 to 110 of about 37,723 (299)
Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
doaj +1 more source
Attractors for strongly damped wave equations with critical exponent
, 2003 We prove the existence of the global attractor for the semigroup generated by strongly damped wave equations when the nonlinearity has a critical growth ...
Zhou, Shengfan
core +1 more source
Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
wiley +1 more source
Existence and classification of positive solutions for coupled purely critical Kirchhoff system
Bulletin of Mathematical SciencesWe study the nonlinear coupled Kirchhoff system with purely Sobolev critical exponent. By using appropriate transformation, we get one equivalent system involving a critical Schrödinger system and an algebraic system.
Yahui Gao, Xiao Luo, Maoding Zhen
doaj +1 more source
Sign-changing solution for logarithmic elliptic equations with critical exponent
, 2023 In this paper, we consider the logarithmic elliptic equations with critical exponent \begin{equation} \begin{cases} -\Delta u=\lambda u+ |u|^{2^*-2}u+\theta u\log u^2, \\ u \in H_0^1(\Omega), \quad \Omega \subset \R^N.
Liu, Tianhao, Zou, Wenming
core
On critical exponents for the Pucci’s extremal operators
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2003 In this article we study some results on the existence of radially symmetric, non-negative solutions for the nonlinear elliptic equation \tag{$*$} \mathcal M_{\lambda ,\Lambda }^{ + }\left(D^{2}u\right) + u^{P} = 0 \quad \text{in }\mathbb{R}^{N}. Here
Felmer, Patricio L., Quaas, Alexander
openaire +2 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
SciPost PhysicsWe study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme.
Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann, Kai Phillip Schmidt
doaj +1 more source
Critical Exponent for the Acyclic Chromatic Number of Random Graphs
, 2023 In this paper we study acyclic colouring in the random subgraph $\mathit{G}$ of the complete graph $\mathit{K}_n$ on $\mathit{n}$ vertices where each edge is present with probability $\mathit{p}$; independent of the other edges.
Ganesan, Ghurumuruhan
core
Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
wiley +1 more source