Results 151 to 160 of about 1,398 (233)

Multiple solutions for semilinear elliptic equations with sign-changing potential and nonlinearity

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we study the multiplicity of solutions for the semilinear elliptic equation $$\displaylines{ -\Delta u+a(x)u=f(x, u), \quad x\in \Omega,\cr u=0, \quad x \in \partial\Omega, }$$ where $ \Omega\subset \mathbb{R}^N$ $(N ...
Dongdong Qin, Xianhua Tang, Jiang Zhang
doaj  

Strongly interacting bumps for the schrodinger-newton equations

open access: yes, 2009
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
core  

Dirac-harmonic maps with potential. [PDF]

open access: yesLett Math Phys, 2022
Branding V.
europepmc   +1 more source

Operator compression with deep neural networks. [PDF]

open access: yesAdv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]

open access: yesProc Math Phys Eng Sci, 2022
Han Y, Harris J, Majumdar A, Zhang L.
europepmc   +1 more source

An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering

open access: yesElectronic Journal of Differential Equations, 2015
In applications it is common to arrive at a problem where the choice of an optimal domain is considered. One such problem is the one associated with the steady state reaction diffusion equation given by a semilinear elliptic equation with a monotone ...
Jesus Ildefonso Diaz, David Gomez-Castro
doaj  

SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation

open access: yes, 2012
Zhu R. SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation.
Zhu, Rongchan
core  

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