Results 71 to 80 of about 347 (175)

Singular Double Phase Kirchhoff Type Problem with a General Nonlocal Integrodifferential Operator

Mathematics
In this study, we study a singular double-phase Kirchhoff problem involving a fractional nonlocal integrodifferential operator. More precisely, we reformulate the studied problem into an equivalent integral equation and derive the corresponding energy ...
Ramzi Alsaedi
doaj   +1 more source

A Data‐Driven Multiscale Scheme for Anisotropic Finite Strain Magneto‐Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT In this work, we develop a neural network‐based, data‐driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On the microscale, sampled magneto‐mechanical loading paths are imposed on a representative volume element containing spherical particles and an elastomer matrix, and ...
Heinrich T. Roth, Philipp Gebhart, Karl A. Kalina, Thomas Wallmersperger, Markus Kästner   +4 more
wiley   +1 more source

Thermodynamics‐Based THMC Model for Solute Transport in Sorptive Fractured Rock: Coupling Multi‐Phase Flow, Heat, and Deformation

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Fractured porous rocks host a complex interplay of heat, fluids, deformation, and chemical reactions, yet their combined influence on solute transport remains poorly resolved. Here we show that these processes are more tightly coupled than previously assumed.
Kai Wang, Yue Ma, Xu Li, Shangqi Ge, Zhitong Ma, Aizhong Ding, Xiaohui Chen   +6 more
wiley   +1 more source

Positive Normalized Solutions to a Kind of Fractional Kirchhoff Equation with Critical Growth

Fractal and Fractional
In this paper, we have investigated the existence of normalized solutions for a class of fractional Kirchhoff equations involving nonlinearity and critical nonlinearity. The nonlinearity satisfies L2-supercritical conditions.
Shiyong Zhang, Qiongfen Zhang
doaj   +1 more source

Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

Advances in Difference Equations, 2018
We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet ...
Taiyong Chen, Wenbin Liu
doaj   +1 more source

Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj  

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source

On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight

Cubo
This paper is concerned with a class of fractional \(p(x,y)-\)Kirchhoff type problems with Dirichlet boundary data along with indefinite weight of the following form \begin{equation*} \left\lbrace\begin{array}{ll} M\left(\int_{Q}\frac{1}{p(x,y)}\frac{|
Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi   +1 more
doaj   +1 more source

Existence of solutions to nonlocal Kirchhoff equations of elliptic type via genus theory

Electronic Journal of Differential Equations, 2014
In this article, we study the existence and multiplicity of solutions to the nonlocal Kirchhoff fractional equation $$\displaylines{ \Big(a + b\int_{\mathbb{R}^{2N}} |u (x) - u (y)|^2 K (x - y)\,dx\,dy\Big) (- \Delta)^s u - \lambda u = f (x, u (x)) \
Nemat Nyamoradi, Nguyen Thanh Chung
doaj  

Existence of positive solutions for fractional Schrödinger equation with general nonlinearities in exterior domains

Boundary Value Problems
In this paper, we investigate the existence of positive solutions of the following fractional Schrödinger equation with general nonlinearities: { ( − Δ ) s u + λ u = f ( u ) , in Ω , u = 0 , on R N ∖ Ω , $$\begin{aligned} \left \{ \textstyle\begin{array}{
Yalin Shen
doaj   +1 more source