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[PDF] Top 20 On Weak Solvability of Boundary Value Problems for Elliptic Systems

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On Weak Solvability of Boundary Value Problems for Elliptic Systems

On Weak Solvability of Boundary Value Problems for Elliptic Systems

... Abstract . This paper concerns with existence and uniqueness of a weak so- lution for elliptic systems of partial differential equations with mixed bound- ary conditions. The proof is based on ... See full document

14

On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point

On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point

... of boundary value problems for an elliptic equation with degeneracy at an inner point of the considered domain are obtained in ...degenerating elliptic equation with the main part of ... See full document

11

Boundary value problems associated with generalized Q-holomorphic functions

Boundary value problems associated with generalized Q-holomorphic functions

... Such systems are natural ones to consider because they arise from the reduction of general elliptic systems in the plane to a standard canonical ...study elliptic systems in the ... See full document

5

Solvability of boundary value problems for a class of partial difference equations on the combinatorial domain

Solvability of boundary value problems for a class of partial difference equations on the combinatorial domain

... and systems of difference equations with their applications (see, for example, [, , –]), has re-attracted some recent ...related systems in [] and ... See full document

10

The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Semi Linear Systems Mixed of Keldysh Type in Multivariate Dimension

The Solvability of a New Boundary Value Problem with Derivatives on the Boundary Conditions for Forward-Backward Semi Linear Systems Mixed of Keldysh Type in Multivariate Dimension

... of boundary value problems for degenerate equations and equations of mixed- type, as it shown in the work ...The solvability a some of new kind of boundary value problems ... See full document

11

On explicit and numerical solvability of parabolic initial-boundary value problems

On explicit and numerical solvability of parabolic initial-boundary value problems

... invertible elliptic differential operator A of even order 2m with constant coeffi- ...homogeneous boundary conditions, the operator ∂/∂t + A generates an isomorphism between anisotropic Sobolev spaces with an ... See full document

12

Solvability of fractional boundary value problems with p Laplacian operator

Solvability of fractional boundary value problems with p Laplacian operator

... dynamical systems, viscoelasticity, electrochemistry of corro- sion, chemical physics, optics and signal processing, and so ...initial value problems, the existence and multiplicity of solutions were ... See full document

10

Solvability for nonlocal boundary value problems on a half line with dim(kerL)=2

Solvability for nonlocal boundary value problems on a half line with dim(kerL)=2

... Boundary value problems on an infinite interval arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and in various applications such as an ... See full document

11

On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator

On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator

... of boundary value problems with boundary operators of high order were studied for the Laplace ...the solvability have been established and the integral representations of solutions of ... See full document

13

Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

... applied problems of mathematical physics require the study of spectral problems with a polynomial appearance of a parameter in the boundary conditions [–], while, in corresponding inverse ... See full document

14

On the solvability of general boundary value problems for systems of nonlinear impulsive equations with finite and fixed points of impulse actions

On the solvability of general boundary value problems for systems of nonlinear impulsive equations with finite and fixed points of impulse actions

... of systems of differential equations with impul- sive effect (both linear and nonlinear) have been studied sufficiently well (for a survey of the results on impulsive systems, see, ... See full document

17

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems

... [15] S. Z. Zheng, Partial regularity of A-harmonic systems of equations and quasiregular mappings, Chinese Annals of Mathematics. Series A. Shuxue Niankan. A Ji 19 (1998), no. 1, 63–72 (Chi- nese), translation in ... See full document

15

Solvability for second-order nonlocal boundary value problems with dim(kerM)=2

Solvability for second-order nonlocal boundary value problems with dim(kerM)=2

... Boundary value problems on an infinite interval arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and in various applications such as an ... See full document

14

On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders

On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders

... This paper is organized as follows. In the first section, we state the problem. In Sec- tion , we present the results on the unique solvability of problems with initial condition for Schrödinger ... See full document

9

Solvability of integral boundary value problems at resonance in \(R^{n}\)

Solvability of integral boundary value problems at resonance in \(R^{n}\)

... integral boundary value problems for ordinary differential equations or fractional differential equations has been well studied; we refer the reader to [4, 10, 17, 20, 21, 24, 25, 29–35, 37] for some ... See full document

19

On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems

On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems

... the solvability of weakly nonlinear systems of difference equations subject to multipoint boundary ...homogoneous boundary value problem has non- trivial solutons, however, for ... See full document

62

SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS

SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS

... Remark 3.1. 1) Stehfest’s method gives accurate results for many problems including diffusion problem, fractional functions in the Laplace domain. However, it fails to predict e t type functions or those with ... See full document

9

On the Solvability of Nonlinear Boundary Value Problems on Time Scales

On the Solvability of Nonlinear Boundary Value Problems on Time Scales

... two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution ... See full document

73

On the Solvability of Discrete Nonlinear Two Point Boundary Value Problems

On the Solvability of Discrete Nonlinear Two Point Boundary Value Problems

... The function ak − 1, Δuk − 1 has the same properties as in 4, but the boundary conditions are different. For this reason, Guiro et al. defined a new norm in the Hilbert space considered in order to get, by using ... See full document

17

Boundary regularity for elliptic systems with supquadratic growth

Boundary regularity for elliptic systems with supquadratic growth

... quasilinear systems. For example, Arkhipova has studied regularity up to the boundary for nonlinear and quasilinear sys- tems ...For systems in a diagonal form, boundary regularity was first ... See full document

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