Results 81 to 90 of about 93,033 (295)
A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials
International Journal for Numerical Methods in Engineering, Volume 126, Issue 5, 15 March 2025.ABSTRACT In this contribution we present an adaptive model order reduction technique for non‐linear finite element computations of micro‐heterogeneous materials. The presented projection‐based method performs updates of the reduced basis during the iterative process and at the end of each load step.
Yasemin von Hoegen +2 more
wiley +1 more source
On Singular Semilinear Elliptic Equations
, 1991 For the semilinear elliptic equation Δu + p(x)u⁻ʸ = 0, x ∈ Rⁿ, n ≥ 3, γ > 0, we show via the barrier method the existence of a positive entire solution behaving like |x|²⁻ⁿ near ∞.
openaire +3 more sources
Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj
Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
wiley +1 more source
Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type [PDF]
Opuscula Mathematica, 2006 A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered.
Tomasz S. Zabawa
doaj
Radial solutions to semilinear elliptic equations via linearized operators
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Let $u$ be a classical solution of semilinear elliptic equations in a ball or an annulus in $\mathbb{R}^N$ with zero Dirichlet boundary condition where the nonlinearity has a convex first derivative.
Phuong Le
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Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
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On a uniform estimate for positive solutions of semilinear elliptic equations [PDF]
, 2012 We consider semilinear elliptic equations with Dirichlet boundary conditions in a Lipschitz, possibly unbounded, domain. Under suitable assumptions on the nonlinearity, we deduce a condition on the size of the domain that implies the existence of a ...
Sourdis, Christos
core
Optimal control of fractional semilinear PDEs
, 2019 In this paper we consider the optimal control of semilinear fractional PDEs with both spectral and integral fractional diffusion operators of order $2s$ with $s \in (0,1)$.
Antil, Harbir, Warma, Mahamadi
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A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source