Results 41 to 50 of about 58,118 (188)
On the first eigensurface for the third order spectrum of p-biharmonic operator with weight
Applied Mathematical Sciences, 2014 In this work, we will study the simplicity and the isolation of the first eigensurface for the spectrum of the operator Δ 2u+2β.∇(|Δu| p−2 Δu)+ |β| 2 |Δu| p−2 Δu, where β ∈ IR N under Navier boundary conditions.
K. Ben Haddouch +3 more
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Two weak solutions for some singular fourth order elliptic problems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a $p$-biharmonic operator, subject to Navier boundary conditions in a smooth bounded domain in $\mathbb{R}^N$.
Lin Li
doaj +1 more source
A Weighted Eigenvalue Problems Driven by both p(·)-Harmonic and p(·)-Biharmonic Operators
Communications in Mathematics, 2021 Abstract The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both p(·)-Harmonic and p(·)-biharmonic operators
Laghzal, Mohamed +2 more
openaire +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
, 2012 By using critical point theory, we establish the existence of infinitely many weak solutions for a class of elliptic Navier boundary value problems depending on two parameters and involving the p-biharmonic operator. © 2012 Elsevier Ltd.
Livrea, R., Candito, P., Li, L.
core +1 more source
Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator [PDF]
, 2021 Some inverse scattering problems for the three-dimensional biharmonic operator are considered. The operator is perturbed by first and zero order perturbations, which may be complex-valued and singular. We show the existence of the scattering solutions in
Serov, Valery
core +1 more source
On a p(x) $p(x)$-biharmonic problem with Navier boundary condition
Boundary Value Problems, 2018 In this paper, we study a p(x) $p(x)$-biharmonic equation with Navier boundary condition {Δp(x)2u+a(x)|u|p(x)−2u=λf(x,u)+μg(x,u)in Ω,u=Δu=0on ∂Ω. $$ \textstyle\begin{cases} \Delta^{2}_{p(x)}u+a(x)|u|^{p(x)-2}u= \lambda f(x,u)+\mu g(x,u)\quad \text{in ...
Zheng Zhou
doaj +1 more source
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Arab Journal of Mathematical Sciences, 2017 In this article we study the problem Δ2u−(1+λ∫RN|∇u|2dx)Δu+V(x)u=|u|p−2uin RN, where Δ2≔Δ(Δ) is the biharmonic operator, λ>0 is a parameter, p∈(2,2∗), and V(x)∈C(RN,R). Under appropriate assumptions on V(x), the existence of ground state solutions and a
Sofiane Khoutir, Haibo Chen
doaj +1 more source