Results 31 to 40 of about 408 (69)

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

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

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
doaj   +1 more source

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
doaj   +1 more source

Abstract Hyperbolic Volterra Integrodifferential Equations

, 1998
HYPERBOLIC VOLTERRA INTEGRODIFFERENTIAL EQUATIONS YUHUA LIN AND NAOKI TANAKA ABSTRACT. This paper is devoted to the study of the problem of global solvability for the abstract hyperbolic Volterra integrodifferential equation This paper is devoted to the ...
Yuhua Lin, N. Tanaka
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Eigenvalue asymptotics for polynomially compact pseudodifferenial operators and applications [PDF]

arXiv, 2020
We fnd the asymptotics of eigenvalues of polynomially compact zero order pseudodiferential operators, the motivating example being the Neumann- Poincare operator in linear elasticity.
arxiv