Results 81 to 90 of about 811 (206)
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
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
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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
, 2006 We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations.
Suli, Endre +3 more
core
Electronic Journal of Differential Equations, 2013 In this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and angiogenesis.
Abdelhaq Mouida +3 more
doaj
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
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Local Boundedness for Weak Solutions to some Quasilinear Elliptic Systems
, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample.
Cristina Pignotti +4 more
core
Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
, 1972 The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
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Positive solutions of higher order quasilinear elliptic equations
Abstract and Applied Analysis, 2002 The higher order quasilinear elliptic equation −Δ(Δp(Δu))=f(x,u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup.
Marcelo Montenegro
doaj +1 more source
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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