Results 31 to 40 of about 469 (66)

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

A note on global regularity for the weak solutions of fractional p-Laplacian equations

, 2015
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (12) case.Comment:
Iannizzotto, Antonio, Mosconi, Sunra, Squassina, Marco   +2 more
core   +1 more source

On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]

, 2005
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Bezzarga, Mounir, Kefi, Khaled
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
doaj   +1 more source

The Harnack inequality for the Riemann-Liouville fractional derivation operator

, 2011
In this note we establish the Harnack inequality for the Riemann-Liouville fractional derivation operator ∂ t of order α ∈ (0, 1). Here the function under consideration is assumed to be globally nonnegative. We show that the Harnack inequality in general
Rico Zacher
semanticscholar   +1 more source

Existence Results for a critical fractional equation

, 2016
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica, Hajaiej, Hichem, Vilasi, Luca   +2 more
core   +1 more source

Nonlinear commutators for the fractional p-Laplacian and applications [PDF]

, 2015
We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional $p$-Laplace operator it implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weak
Schikorra, Armin
core   +2 more sources

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
doaj   +1 more source

Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

, 2011
In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space ...
H. L. Tidke, C. Aage, J. N. Salunke
semanticscholar   +1 more source

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
doaj   +1 more source