Results 1 to 10 of about 26 (18)
Crank–Nicolson Method for the Advection-Diffusion Equation Involving a Fractional Laplace Operator
Abstract and Applied AnalysisMSC2020 Classification: 35R11; 35S15; 65M12.
Martin Nitiema +2 more
doaj +2 more sources
Advances in Nonlinear Analysis, 2023 In this article, we study the following general Kirchhoff type equation: −M∫R3∣∇u∣2dxΔu+u=a(x)f(u)inR3,-M\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla u{| }^{2}{\rm{d}}x\right)\Delta u+u=a\left(x)f\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\
Zhang Jian, Liu Huize, Zuo Jiabin
doaj +1 more source
General boundary value problems for pseudo-differential equations and related difference equations
Advances in Differential Equations, 2013 The author develops the theory of pseudo-differential equations and boundary value problems in non-smooth domains. A model pseudo-differential equation in a canonical flat domain is reduced to a system of linear difference equations.MSC:35S15, 39A05.
V. Vasilyev
semanticscholar +2 more sources
Time-fractional diffusion equation with dynamical boundary condition
, 2016 We establish the unique solvability in Hölder spaces for an initial-boundary problem for fractional diffusion equation with fractional dynamic boundary condition. Mathematics subject classification (2010): 35S15.
M. Krasnoschok
semanticscholar +1 more source
Infinitely many solutions for non-local problems with broken symmetry
Advances in Nonlinear Analysis, 2018 The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella +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 +2 more
doaj +1 more source
Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition
Advances in Nonlinear Analysis, 2017 We look for solutions of (-△)su+f(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
doaj +1 more source
ASYMPTOTICS OF PSEUDODIFFERENTIAL PARABOLIC EQUATIONS
, 2002 The paper provides new type examples covered by the general theory of global attractors for abstract parabolic equations presented in the monograph [C-D 1].
J. Cholewa, Tomasz Dłotko, A. Turski
semanticscholar +1 more source
On the fractional p-Laplacian equations with weight and general datum
Advances in Nonlinear Analysis, 2016 The aim of this paper is to study the following problem:
Abdellaoui Boumediene +2 more
doaj +1 more source
Kirchhoff–Hardy Fractional Problems with Lack of Compactness
Advanced Nonlinear Studies, 2017 This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical ...
Fiscella Alessio, Pucci Patrizia
doaj +1 more source