-Biharmonic Problem
Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack
... the biharmonic problem of Neumann type in a sector V ...the problem in a form of a series u = α∈E c α r α φ α , and the functions φ α are solutions of an auxiliary problem obtained by the ...
9
A weakly over-penalized symmetric interior penalty method for the biharmonic problem
... Following the ideas in [22], we will show that the WOPSIP method is quasi-optimal in the energy norm up to terms that are of order O(h), using only the weak problem (1.1) and the tools developed in Section 4. ...
25
On a \(p(x)\)-biharmonic problem with Navier boundary condition
... Study on p(x)-biharmonic problems with Navier boundary condition was started prob- ably in 2009, readers may refer to [20–23]. In the paper [20], El Amrouss et al. studied the p(x)-biharmonic problem ...
14
Singular potential biharmonic problem with fixed energy
... biharmonic problem with fixed energy. We get a theorem that shows the existence of at least one nontrivial weak solution under some conditions and fixed energy on which the corresponding functional of the ...
18
Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem
... in the mesh has four different degrees of freedom (DOFs). Grouping DOFs of the same type together leads to a natural blocking of the Galerkin coefficient matrix. Based on this block structure, we develop two ...
21
Solving the singular two-dimensional fourth order problem by the mortar spectral element method
... In this work, we implement the mortar spectral element method for the biharmonic problem with a homogeneous boundary condition. We consider a polygonal domain with corners which relies on the mortar ...
19
Regularization of an initial inverse problem for a biharmonic equation
... The biharmonic equation arises in many engineering applications such as the deformation of thin plates, the motion of fluids, free boundary problems, nonlinear elasticity and for historical details we refer the ...
20
Chaotic Behavior of the Biharmonic Dynamics System
... The present paper is structured in the following way. Section 2 gives the analysis of the unperturbed motion of the biharmonic dynamics system 1.1 and the phase portrait. On the phase portrait characteristic ...
18
Biharmonic maps on V manifolds
... generalize biharmonic maps between Riemannian manifolds into the case of the domain being ...a biharmonic map from a compact V-manifold into a Riemannian manifold of nonpositive curvature is harmonic, we ...
8
On univalent solutions of the biharmonic equation
... are biharmonic functions or functions associated with ...be biharmonic for an elastically isotropic crystal undergoing phase transition, which follows spontaneous ...dilatation. Biharmonic functions ...
10
On The Mean Convergence of Biharmonic Functions
... In the following proposition we collect some intrinsic properties of the biharmonic Poisson kernel. In particular, it follows from parts (a), (b), and (d) of the proposition that the biharmonic Poisson ...
6
Nonlinear biharmonic boundary value problem
... We consider the nonlinear biharmonic equation with variable coefficient and polynomial growth nonlinearity and Dirichlet boundary condition. We get two theorems. One theorem says that there exists at least one ...
10
Biharmonic Maps into S-Space forms
... The biharmonic maps theory is an old and attractive ...this biharmonic maps were studied by many authors see [2], [3], ...the biharmonic submanifolds in complex space ...about biharmonic maps ...
10
Biharmonic function of protein in mocorin and its optimization
... of biharmonic operator in the form of forth order of partial differential ...the biharmonic function is the solution of the forth order of partial differential equation in the form ...
7
Existence of solutions for a family of polyharmonic and biharmonic equations
... above problem for the case m = 1 has been studied before for existence of solu- tions by many ...the problem for ε f (x) = 1, then he showed that for the limiting exponent p = (n + 2)/(n − 2), the ...
13
Biharmonic eigen value problems and Lp estimates
... This paper is concerned mainly with the existence of and L P-estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen-values of the [r] ...
12
Supercritical biharmonic equations with power type nonlinearity
... bounded) or regular (bounded). The corresponding question has been settled for the exponential nonlinearity by Davila, Dupaigne, Guerra and Montenegro [6] thereby developing the previous work [1]. Here, taking advantage ...
12
Univalent Biharmonic Mappings and Linearly Connected Domains
... are biharmonic functions or functions associated with them ( see [15, 16 ...over, biharmonic Mapping are closely related to the theory of Laguerre Minimal Surfaces (for details see [5, 7, 8, 9, 17, ...of ...
8
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
... Since the seminal paper of Ambrosetti and Rabinowitz in [2], the existence of solutions for the elliptic problem has been studied by many researchers. A common feature of these works is that the following ...
17
Solutions of biharmonic equations with mixed nonlinearity
... for biharmonic equations, but most of them are on bounded domains; see ...addition, biharmonic equations on unbounded domains also have captured a lot of interest; see [–] and the references ...study ...
7