Results 31 to 40 of about 58,118 (188)

Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator [PDF]

Mathematica Bohemica, 2015
Summary: We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet \(p\)-Laplacian and the Navier \(p\)-biharmonic operator on a ball of radius \(R\) in \(\mathbb{R}^N\) and its asymptotics for \(p\) approaching 1 and \(\infty\). Let \(p\) tend to \(\infty\).
openaire   +1 more source

Well-posedness and Asymptotic Behavior for a Pseudo-parabolic Equation Involving $p$-biharmonic Operator and Logarithmic Nonlinearity

Taiwanese Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhiqing, Fang, Zhong Bo
openaire   +1 more source

Sequences of weak solutions to a fourth-order elliptic problem

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
This paper contains some results of existence of infinitely many solutions to an elliptic equation involving the p(x)-biharmonic operator coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not possess ...
Filippo Cammaroto
doaj   +1 more source

On the estimation of the eigenfunctions of biharmonic operator in closed domain [PDF]

, 2018
In the current research, the sufficient conditions for uniform convergence of the eigenfunction expansions of the biharmonic operator in closed domain are investigated.
Ibragimov, Gafurjan, Gafurjan Ibragimov, Ahmedov, Anvarjon A., Anvarjon Ahmedov, Siti Nor Aini, Mohd Aslam, Siti Nor Aini Mohd Aslam   +5 more
core   +1 more source

Segmented Therapeutic Delivery via Acoustic Microbubble Relay

Advanced Intelligent Systems, EarlyView.
An acoustically driven, modular segmented delivery system is presented to overcome mechanical limitations of conventional microcatheters. Oscillating microbubbles generate directional streaming that enables continuous, targeted transport across open, angled segments.
Lei Wang, Yiyang Tang, Yiqiang Wu, Xin Zhang, Tianshi Lyu, Zhen Hua, Tian‐Yun Huang   +6 more
wiley   +1 more source

Mixed finite element method for a beam equation with the p(x)-biharmonic operator

Computers & Mathematics with Applications, 2023
In this paper, we consider a nonlinear beam equation with the p-biharmonic operator, where $1 < p < \infty$. Using a change of variable, we transform the problem into a system of differential equations and prove the existence, uniqueness and regularity of the weak solution by applying the Lax-Milgram theorem and classical results of functional ...
Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira, Willian S. Panni   +3 more
openaire   +3 more sources

Challenges and Opportunities in Multi‐Method Integrated Geophysical Prospection of Buried Building Remains at the Sanctuary of Olympia

Archaeological Prospection, EarlyView.
ABSTRACT Ancient Olympia was one of the most important sanctuaries and the venue for the Olympic Games in Greek and Roman times. Its remains are located in the Olympia Terrace (Peloponnese, Greece) at the present‐day confluence of the rivers Alpheios and Kladeos at the base of Mount Kronos.
Sarah Bäumler, Dennis Wilken, Peter Fischer, Lena Slabon, Timo Willershäuser, Birgitta Eder, Hans‐Joachim Gehrke, Erofili‐Iris Kolia, Franziska Lang, Oliver Pilz, Andreas Vött   +10 more
wiley   +1 more source

Trivariate Biharmonic B‐Splines

, 2015
.In this paper, we formulate a novel trivariate biharmonic B‐spline defined over bounded volumetric domain. The properties of bi‐Laplacian have been well investigated, but the straightforward generalization from bivariate case to trivariate one gives ...
Qin, Hong, Hou, Fei, Hao, Aimin
core   +1 more source

Inverse scattering for three-dimensional quasi-linear biharmonic operator [PDF]

, 2022
We consider an inverse scattering problem of recovering the unknown coefficients of a quasi-linearly perturbed biharmonic operator in the three-dimensional case.
Kultima, Jaakko, Serov, Valery, Harju, Markus   +2 more
core   +1 more source

Analytical stress solution framework for lined compressed air energy storage chambers and its application to safe burial depth determination and supporting effectiveness evaluation

Deep Underground Science and Engineering, EarlyView.
An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun, Cheng Zhao, Jinquan Xing, Qinyuan Luo   +3 more
wiley   +1 more source