HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY
. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry.
SANDEEP KUNNATH +3 more
core
Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]
Amigo R +4 more
europepmc +1 more source
A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]
Che H, Tang Y.
europepmc +1 more source
We investigate the following fractional p-Laplacian convex-concave problem:(Pλ)(−Δ)psu=λ|u|q−2u+|u|ps*−2u inΩ,u=0 inRn\Ω, $$\left({P}_{\lambda }\right) \begin{cases}\begin{aligned}\hfill {\left(-{\Delta}\right)}_{p}^{s}u& =\lambda \vert u{\vert
Ye Dong, Zhang Weimin
doaj +1 more source
Asymptotic behavior of nematic states in the theory of liquid crystals under applied magnetic fields
We consider the asymptotic behavior of minimizers of a functional which represents nematic liquid crystals with a specific boundary data under a tilted applied magnetic field.
Junichi Aramaki
core
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
Boehm U, Cox S, Gantner G, Stevenson R.
europepmc +1 more source
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
doaj +1 more source
Normalized solutions for the Choquard equation with potential and combined nonlinearities
In this paper, we study multiple normalized solutions for the following Choquard equation:
Xing Wenjun, Suo Hongmin, Lei Chunyu
doaj +1 more source
Multiple Solutions for Superlinear Fractional Problems via Theorems of Mixed Type
In this paper, we investigate the existence of multiple solutions for the following two fractional problems:
Ambrosio Vincenzo
doaj +1 more source
The critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group
This paper is committed to the existence of multiple solutions for the critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group:
Ma Xueyan, Li Haoyan, Song Yueqiang
doaj +1 more source

