Results 11 to 20 of about 54 (54)

Fractional parabolic problems with a nonlocal initial condition

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B.   +2 more
doaj   +1 more source

The Brezis–Nirenberg problem for nonlocal systems

open access: yesAdvances in Nonlinear Analysis, 2016
By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and ...
Faria Luiz F. O.   +4 more
doaj   +1 more source

Integro-differential systems with variable exponents of nonlinearity

open access: yesOpen Mathematics, 2017
Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
doaj   +1 more source

Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

open access: yesAdvances in Nonlinear Analysis, 2019
This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi   +2 more
doaj   +1 more source

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

open access: yes, 1970
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 ...
HL Tidke, CT Aage, JN Salunke
core   +1 more source

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

open access: yes, 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 ...
Kefi, Khaled, Bezzarga, Mounir
core  

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

open access: yesAdvances 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   +2 more
doaj   +1 more source

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada   +2 more
doaj   +1 more source

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

open access: yesAdvanced 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

Choquard equations with recurrent potentials

open access: yesAdvances 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   +3 more
doaj   +1 more source

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