Results 71 to 80 of about 187 (121)

HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY

open access: yes, 2008
. — 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  

Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities

open access: yesAdvanced Nonlinear Studies
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

open access: yes, 2020
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  

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

open access: yesAdvanced Nonlinear Studies
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

open access: yesAdvances in Nonlinear Analysis
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

open access: yesAdvanced Nonlinear Studies, 2018
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

open access: yesDemonstratio Mathematica
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

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