Results 81 to 90 of about 502 (154)
Fatigue &Fracture of Engineering Materials &Structures, Volume 48, Issue 7, Page 3168-3184, July 2025.ABSTRACT Measuring ductile fracture toughness for materials requires the specimen size to be large enough for the tests to be valid. The presented work investigates the size related fracture behavior of as‐received and aged 316 L(N) stainless steel through an experimental approach. It focuses on the effects of the thickness and size of the specimens on
Sihan Cheng +4 more
wiley +1 more source
Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs [PDF]
, 2013 In this article we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of monotone type.
Wihler, Thomas P. +2 more
core +1 more source
On a Nonlinear System of Reaction-Diffusion Equations
Nonlinear Analysis, 2006 The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions, − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
doaj +1 more source
Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley +1 more source
Keller-Osserman estimates for some quasilinear elliptic systems
Communications on Pure and Applied Analysis, 2013 In this article we study quasilinear multipower systems of two equations of two types, in a domain $Ω$ of R^{N} : with absorption terms, or mixed terms. Despite of the lack of comparison principle, we prove a priori estimates of Keller-Osserman type. Concerning the mixed system, we show that one of the solutions always satisfies Harnack inequality.
Bidaut-Veron, M. +2 more
openaire +6 more sources
Existence of Positive Solutions for a Nonvariational Quasilinear Elliptic System
Journal of Differential Equations, 2000 Let \(\Omega\) be an open ball with center \(0\) in \({\mathbb R}^N\) and \(\Delta_p u:=\text{div}(|\nabla u|^{p-2}\nabla u)\) be the \(p\)-Laplacian of \(u\). The authors establish the existence of a positive radial solution of the boundary value problem \[ -\Delta u= u^\alpha u^\beta\quad\text{on }\Omega,\qquad -\Delta v= u^\gamma v^\delta\quad\text ...
Clément, Philippe +3 more
openaire +1 more source
Quasilinear and singular elliptic systems
, 2012 International audienceIn this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results.
Hernández, Jesús +2 more
core
, 2013 The aim of this poster is to present a brief overview of the most significant results obtained in the last five years by the authors above on the quasilinear elliptic ...
MUGNAI, Dimitri +4 more
core
International Journal of Differential Equations, 2010 We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method.
Lin Wei, Zuodong Yang
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A multiplicity result for perturbed symmetric quasilinear elliptic systems
Differential and Integral Equations, 2001 In [\textit{M. Squassina}, Existence of multiple solutions for quasilinear diagonal elliptic systems, Electron. J. Differ. Equ. 14, 1-12 (1999; Zbl 0921.35052)] it was recently shown that diagonal quasilinear elliptic systems of the type \[ -\sum^n_{i,j=1} D_j(a^k_{ij}(x, u)D_i u_k)+{1\over 2} \sum^n_{i,j=1}\sum^N_{h=1} D_{S_k} a^h_{ij}(x,u) D_i u_h ...
S. Paleari, SQUASSINA, Marco
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