Results 81 to 90 of about 347 (175)

Existence of solutions for fractional \(p\)-Kirchhoff equations with critical nonlinearities

Electronic Journal of Differential Equations, 2015
In this article, we show the existence of non-negative solutions of the fractional p-Kirchhoff problem $$\displaylines{ -M(\int_{\mathbb{R}^{2n}} |u(x)-u(y)|^pK(x-y)dx\,dy)\mathcal{L}_Ku =\lambda f(x,u)+|u|^{p^* -2}u\quad \text{in }\Omega,\cr u=0\quad \text{in }\mathbb{R}^{n}\setminus\Omega, }$$ where $\mathcal{L}_K$ is a p-fractional type non local ...
Pawan Kumar Mishra, Konijeti Sreenadh
openaire   +2 more sources

Critical Fractional Choquard–Kirchhoff Equation with p-Laplacian and Perturbation Terms on the Heisenberg Group

Fractal and Fractional
In this paper, we are interested in a class of critical fractional Choquard–Kirchhoff equations with p-Laplacian on the Heisenberg group. By employing several critical point theorems, we obtain the existence and multiplicity of nontrivial solutions under
Xueyan Ma, Sihua Liang, Yueqiang Song
doaj   +1 more source

Normalized Ground States for the Sobolev Critical Fractional Kirchhoff Equation with at Least Mass Critical Growth

Fractal and Fractional
In this paper, we delve into the following nonlinear fractional Kirchhoff-type problem (a+b||(−Δ)s2u||22)(−Δ)su+λu=g(u)+|u|2s*−2u in R3 with prescribed mass ∫R3|u|2dx=ρ>0, where s∈(34,1),λ∈R,2s*=63−2s.
Peng Ji, Fangqi Chen
doaj   +1 more source

Eigenvibrations of Kirchhoff Rectangular Random Plates on Time-Fractional Viscoelastic Supports via the Stochastic Finite Element Method. [PDF]

Materials (Basel), 2023
Kamiński M, Guminiak M, Lenartowicz A, Łasecka-Plura M, Przychodzki M, Sumelka W.   +5 more
europepmc   +1 more source

Fractional Kirchhoff type equations involving Neumann conditions

Discrete and Continuous Dynamical Systems - S
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vanterler da C. Sousa, J., Kucche, Kishor D., Govindaraj, V., Tavares, Leandro S.   +3 more
openaire   +2 more sources

Existence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold

Electronic Journal of Differential Equations, 2018
We consider the nonlinear fractional Kirchhoff equation $$ \Big(a+b\int_{\mathbb R^3}|(-\Delta)^{\alpha/2} u|^2\,\mathrm{d}x\Big) (-\Delta)^\alpha u+V(x)u=f(u) \quad \text{in } \mathbb R^3, u\in H^{\alpha}(\mathbb R^3), $$ where a>0, $b\ge 0 ...
Jing Chen, Xianhua Tang, Sitong Chen
doaj  

Multiple Solutions for a Critical Steklov Kirchhoff Equation

Fractal and Fractional
In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result,
Maryam Ahmad Alyami, Abdeljabbar Ghanmi
doaj   +1 more source

Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2019
We study the Kirchhoff-Schrodinger-Poisson system $$\displaylines{ m([u]_{\alpha}^2)(-\Delta)^\alpha u+V(x)u+k(x)\phi u = f(x,u), \quad x\in\mathbb{R}^3,\cr (-\Delta)^\beta \phi = k(x)u^2, \quad x\in\mathbb{R}^3, }$$ where $[\cdot]_{\alpha ...
Jose Carlos de Albuquerque, Rodrigo Clemente, Diego Ferraz   +2 more
doaj  

Multiplicity of Solutions for a Fractional Kirchhoff–Schrödinger Problem with Logarithmic Nonlinearity

Fractal and Fractional
In this paper, we investigate the multiplicity and concentration of normalized solutions to a fractional Kirchhoff–Schrödinger problem with logarithmic nonlinearity.
Xin Jin, Qiongfen Zhang, Xingwen Chen
doaj   +1 more source

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels. [PDF]

Arch Appl Mech, 2022
Abouelregal AE.
europepmc   +1 more source