Results 31 to 40 of about 440 (53)

A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN

Advanced Nonlinear Studies, 2017
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
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Choquard equations with recurrent potentials

Advances in Nonlinear Analysis
In this article, we are concerned with the existence of nontrivial solutions to the Choquard equation −Δu+α(x)u=(∣x∣−μ∗∣u∣q)∣u∣q−2uinRN(N≥2),-\Delta u+\alpha \left(x)u=\left({| x| }^{-\mu }\ast {| u| }^{q}){| u| }^{q-2}u\hspace{1.0em}\hspace{0.1em}\text ...
Ding Hui-Sheng, Liu Quan, Long Wei, Zhong Lan   +3 more
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Ground states for fractional Schrödinger equations involving a critical nonlinearity

Advances in Nonlinear Analysis, 2016
This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
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Coupling and Applications [PDF]

, 2010
This paper presents a self-contained account for coupling arguments and applications in the context of Markov processes. We first use coupling to describe the transport problem, which leads to the concepts of optimal coupling and probability distance (or
Wang, Feng-Yu
core  

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

Advanced 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
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Some remarks about the summability of nonlocal nonlinear problems

Advances in Nonlinear Analysis, 2015
In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña, Peral Ireneo, Vita Stefano   +2 more
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Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

Advanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
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p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

Advances in Nonlinear Analysis, 2018
This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator.
Fiscella Alessio, Pucci Patrizia, Zhang Binlin   +2 more
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Nonlinear equations involving the square root of the Laplacian

, 2018
In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with zero Dirichlet
Ambrosio, Vincenzo, Bisci, Giovanni Molica, Repovš, Dušan D.   +2 more
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Contractivity and ground state domination properties for non-local Schr\"odinger operators [PDF]

, 2015
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schr\"odinger operators based on generators of symmetric jump-paring L\'evy processes with Kato-class confining potentials. This
Kaleta, Kamil, Kwaśnicki, Mateusz, Lőrinczi, József   +2 more
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