Results 11 to 20 of about 58,029 (131)

Extremal Eigenvalues Of The Dirichlet Biharmonic Operator On Rectangles [PDF]

open access: yes, 2020
We study the behaviour of extremal eigenvalues of the Dirichlet biharmonic operator over rectangles with a given fixed area. We begin by proving that the principal eigenvalue is minimal for a rectangle for which the ratio between the longest and the ...
Freitas, P.   +3 more
core   +1 more source

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

open access: yes, 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 ...
Benedikt, Jiří
core   +1 more source

Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator [PDF]

open access: yes, 2022
In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified.
Ferreira Jorge   +3 more
core   +1 more source

Spectral Analysis of the Biharmonic Operator Subject to Neumann Boundary Conditions on Dumbbell Domains [PDF]

open access: yes, 2017
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thin channel.
Arrieta, José M.   +12 more
core   +1 more source

Multiple solutions for a Navier boundary value problem involving the p-biharmonic operator

open access: yes, 2012
In this article, exploiting variational methods, the existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the p-biharmonic operator is investigated.
Candito P, Molica Bisci G
core   +2 more sources

TWO-DIMENSIONAL INVERSE SCATTERING FOR QUASI-LINEAR BIHARMONIC OPERATOR [PDF]

open access: yes, 2021
The subject of this work concerns the classical direct and inverse scattering problems for quasi-linear perturbations of the two-dimensional biharmonic operator.
Serov, V. (Valery)   +7 more
core   +1 more source

Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities

open access: yes, 2023
This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities,  Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where 4p∗=pN/N ...
Mohammed El Mokhtar Ould El Mokhtar
core   +1 more source

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

open access: yes, 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   +5 more
core   +1 more source

Segmented Therapeutic Delivery via Acoustic Microbubble Relay

open access: yesAdvanced 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   +6 more
wiley   +1 more source

A generalized nonlinear Picone identity for the p-biharmonic operator and its applications

open access: yes, 2019
A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
core   +1 more source

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