Results 111 to 120 of about 6,369 (172)

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]

Rev Mat Complut, 2023
Comi GE, Stefani G.
europepmc   +1 more source

Energy Minimisers with Prescribed Jacobian. [PDF]

Arch Ration Mech Anal, 2021
Guerra A, Koch L, Lindberg S.
europepmc   +1 more source

Sharp Hardy-Littlewood-Sobolev inequalities on compact CR manifold

, 2019
Assume that $M$ is a CR compact manifold without boundary and CR Yamabe invariant $\mathcal{Y}(M)$ is positive. Here, we devote to study a class of sharp Hardy-Littlewood-Sobolev inequality as follows \begin{equation*} \Bigl| \int_M\int_M [G_ ^ ( )]^{\frac{Q- }{Q-2}} f( ) g( ) dV_ ( ) dV_ ( ) \Bigr| \leq \mathcal{Y}_ (M) \|f\|_{L^{\frac{2Q ...
openaire   +2 more sources

Multiplicity of solutions to a nonlocal Choquard equation involving fractional magnetic operators and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we study the multiplicity of solutions to a nonlocal fractional Choquard equation involving an external magnetic potential and critical exponent, namely, $$\displaylines{ (a+b[u]_{s,A}^2)(-\Delta)_A^su+V(x)u =\int_{\mathbb{R}^N ...
Fuliang Wang, Mingqi Xiang
doaj  

Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

Electronic Journal of Differential Equations, 2019
In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj  

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
doaj   +1 more source

Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

Fractal and Fractional
This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·).
Waqar Afzal, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, Yahya Almalki   +4 more
doaj   +1 more source

The BCS Critical Temperature at High Density. [PDF]

Math Phys Anal Geom, 2022
Henheik J.
europepmc   +1 more source

The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]

Proc Lond Math Soc, 2023
Lee JM, Lenells J.
europepmc   +1 more source

On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
doaj   +1 more source