Results 11 to 20 of about 69,841 (251)

Kirchhoff–Hardy Fractional Problems with Lack of Compactness

open access: yesAdvanced 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   +2 more sources

Existence and multiplicity of nontrivial solutions to the modified Kirchhoff equation without the growth and Ambrosetti–Rabinowitz conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
The paper focuses on the modified Kirchhoff equation \begin{align*} -\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\Delta u-u\Delta (u^2)+V(x)u=\lambda f(u), \quad x\in \mathbb{R}^N, \end{align*} where $a,b>0$, $V(x)\in C(\mathbb{R}^N,\mathbb{R})$ and
Zhongxiang Wang, Gao Jia
doaj   +1 more source

Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms

open access: yesBoundary Value Problems, 2023
This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary damping-source interactions in a bounded domain. Under suitable assumptions on the kernel function g, density function, and M, the global existence and ...
Meriem Saker   +2 more
doaj   +1 more source

Bilinear boundary optimal control of a Kirchhoff plate equation

open access: yesResults in Control and Optimization, 2022
This work shows that a problem of boundary optimal control of a Kirchhoff plate equation has a solution that we characterized using the differentiability of a functional cost.
Abdelhak Bouhamed   +2 more
doaj   +1 more source

Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity [PDF]

open access: yes, 2014
This paper deals with the existence and the asymptotic behavior of non-negative solutions for a class of stationary Kirchhoff problems driven by a fractional integro-differential operator $\mathcal L_K$ and involving a critical nonlinearity.
Autuori, Giuseppina   +2 more
core   +1 more source

Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers

open access: yesApplied Sciences, 2019
In this paper, we take into account a two-dimensional inverse scattering problem for localizing small electromagnetic anomalies when they are surrounded by small, randomly distributed electromagnetic scatterers.
Chi Young Ahn   +2 more
doaj   +1 more source

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity [PDF]

open access: yes, 2017
In this paper we consider the following critical nonlocal problem $$ \left\{\begin{array}{ll} M\left(\displaystyle\iint_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^2}{|x-y|^{N+2s}}dxdy\right)(-\Delta)^s u = \displaystyle\frac{\lambda}{u^\gamma}+u^{2^*_s-1}&\quad ...
Fiscella, Alessio
core   +1 more source

A systematic approach to circuit design and analysis: classification of Two-VCCS Circuits [PDF]

open access: yes, 1999
This paper discusses a systematic approach to the design and analysis of circuits, using a transconductor or voltage controlled current source (VCCS) as a building block.
Klumperink, Eric A.M.
core   +2 more sources

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

Hyperbolicity and genuine nonlinearity conditions for certain p-systems of conservation laws, week solutions and the entropy condition

open access: yesRevista Integración, 2017
We consider a p-system of conservation laws that emerges in one dimensional elasticity theory. Such system is determined by a functionW. We consider four forms of W. These are St.Venant-Kirchhoff, Ogden, Kirchhoff modified, Blatz-Ko-Ogden forms.
Edgardo Pérez, Krzysztof Rózga
doaj   +1 more source

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