Results 21 to 30 of about 17,215,808 (337)

Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]

open access: yes, 2000
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, C, Wei, J, Winter, M
core   +1 more source

Understanding FBA Solutions under Multiple Nutrient Limitations [PDF]

open access: yesMetabolites, 2021
Genome-scale stoichiometric modeling methods, in particular Flux Balance Analysis (FBA) and variations thereof, are widely used to investigate cell metabolism and to optimize biotechnological processes. Given (1) a metabolic network, which can be reconstructed from an organism’s genome sequence, and (2) constraints on reaction rates, which may be based
Eunice van Pelt-KleinJan   +2 more
openaire   +4 more sources

Multiple normalized solutions for quasi-linear Schr\"odinger equations [PDF]

open access: yes, 2015
In this paper we prove the existence of two solutions having a prescribed $L^2$-norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global.
Jeanjean, Louis   +2 more
core   +4 more sources

Multiple solutions of coupled-cluster equations for PPP model of [10]annulene [PDF]

open access: yes, 2002
Multiple (real) solutions of the CC equations (corresponding to the CCD, ACP and ACPQ methods) are studied for the PPP model of [10]annulene, C_{10}H_{10}.
Drexler   +16 more
core   +2 more sources

Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

open access: yesJournal of Thermal Science and Technology, 2013
The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when ω < π, the parameter arising from a combination among ...
Yoshio MASUDA   +2 more
doaj   +1 more source

An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations [PDF]

open access: yes, 2016
The definition of partial differential equation (PDE) models usually involves a set of parameters whose values may vary over a wide range. The solution of even a single set of parameter values may be quite expensive.
Gunzburger, Max   +2 more
core   +4 more sources

On Different Type Solutions of Boundary Value Problems

open access: yesMathematical Modelling and Analysis, 2016
We consider boundary value problems of the type x'' = f(t, x, x'), (∗) x(a) = A, x(b) = B. A solution ξ(t) of the above BVP is said to be of type i if a solution y(t) of the respective equation of variations y'' = fx(t, ξ(t), ξ' (t))y + fx' (t, ξ(t), ξ' (
Maria Dobkevich, Felix Sadyrbaev
doaj   +1 more source

Application of Simplified Homogeneous Balance Method to Multiple Solutions for (2 + l)-Dimensional Burgers’ Equations

open access: yesMathematics, 2022
In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions of these Burgers’ equations are obtained by dependent variable transformation derived using the simplified homogeneous balance method.
Lingxiao Li   +2 more
doaj   +1 more source

Distributed Algorithm to Solve a System of Linear Equations With Unique or Multiple Solutions From Arbitrary Initializations

open access: yesIEEE Transactions on Control of Network Systems, 2019
A discrete-time distributed algorithm to solve a system of linear equations $Ax=b$ is proposed with $M$-Fejer mappings. The algorithm can find a solution of $Ax=b$ from arbitrary initializations at a geometric rate when $Ax=b$ has either unique or ...
Peng Wang, Wei Ren, Z. Duan
semanticscholar   +1 more source

Multiple solutions to a magnetic nonlinear Choquard equation

open access: yes, 2011
We consider the stationary nonlinear magnetic Choquard equation [(-\mathrm{i}\nabla+A(x))^{2}u+V(x)u=(\frac{1}{|x|^{\alpha}}\ast |u|^{p}) |u|^{p-2}u,\quad x\in\mathbb{R}^{N}%] where $A\ $is a real valued vector potential, $V$ is a real valued scalar ...
A. Ambrosetti   +27 more
core   +1 more source

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