Results 61 to 70 of about 969 (93)

Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr\"odinger Equation [PDF]

, 2012
We consider a derivative nonlinear Schr\"odinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and,
Liu, Xiao, Simpson, Gideon, Sulem, Catherine   +2 more
core  

Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

Open Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
doaj   +1 more source

Bubbles clustered inside for almost-critical problems

Open Mathematics
We investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
doaj   +1 more source

Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms

Open Mathematics
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
doaj   +1 more source

Elliptic semi-linear systems on R\sp N

, 2010
In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g.
Garrisi, Daniele
core  

Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience. [PDF]

J Sci Comput, 2023
Chen X, Tran AP, Elkin R, Benveniste H, Tannenbaum AR.   +4 more
europepmc   +1 more source

Local versus nonlocal elliptic equations: short-long range field interactions

Advances in Nonlinear Analysis, 2020
In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian.
Cassani Daniele, Vilasi Luca, Wang Youjun   +2 more
doaj   +1 more source

Multiple solutions for critical Choquard-Kirchhoff type equations

Advances in Nonlinear Analysis, 2020
In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,
Liang Sihua, Pucci Patrizia, Zhang Binlin   +2 more
doaj   +1 more source

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]

Heliyon, 2023
Berrone S, Canuto C, Pintore M, Sukumar N.   +3 more
europepmc   +1 more source

Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]

Int J Mol Sci, 2023
Amigo R, Raiqueo F, Tarifeño E, Farkas C, Gutiérrez JL.   +4 more
europepmc   +1 more source