Asymptotic Properties of Solutions of Two-Dimensional Differential-Difference Elliptic Problems

2021 ◽  
Author(s):  
A. B. Muravnik
Keyword(s):  
Asymptotic Properties ◽  
Elliptic Problems ◽  
Two Dimensional

scholarly journals Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions

2020 ◽  
Vol 23 (2) ◽  
pp. 378-389
Author(s):  
Ferenc Izsák ◽  
Gábor Maros
Keyword(s):  
Fractional Order ◽  
Boundary Data ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Integral Form ◽  
Uniqueness Result ◽  
Boundary Integral ◽  
Dirichlet Boundary Conditions ◽  
Two Dimensional ◽  
Potential Operators

AbstractFractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping properties of the corresponding potential operators. The existence-uniqueness result is stated also for two-dimensional domains. Finally, a mild condition is provided to ensure the existence of the classical solution of the boundary integral equation.

On a class of two-dimensional singular elliptic problems

2001 ◽  
Vol 131 (3) ◽  
pp. 479-497 ◽  
Author(s):  
Paolo Caldiroli ◽  
Roberta Musina
Keyword(s):  
Positive Solutions ◽  
Exterior Domain ◽  
Elliptic Problems ◽  
Two Dimensional ◽  
Dirichlet Problems ◽  
Existence Of Positive Solutions

We consider Dirichlet problems of the form −|x|αΔu = λu + g(u) in Ω, u = 0 on ∂Ω, where α, λ ∈ R, g ∈ C(R) is a superlinear and subcritical function, and Ω is a domain in R2. We study the existence of positive solutions with respect to the values of the parameters α and λ, and according that 0 ∈ Ω or 0 ∈ ∂Ω, and that Ω is an exterior domain or not.

ON ASYMPTOTIC PROPERTIES OF A TWO DIMENSIONAL FREQUENCY ESTIMATOR

2001 ◽  
Vol 30 (8-9) ◽  
pp. 1561-1577 ◽  
Author(s):  
Debasis Kundu ◽  
Swagata Nandi
Keyword(s):  
Asymptotic Properties ◽  
Two Dimensional ◽  
Frequency Estimator

scholarly journals Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence

2017 ◽  
Vol 74 (12) ◽  
pp. 3283-3295 ◽  
Author(s):  
Agnaldo M. Farias ◽  
Philippe R.B. Devloo ◽  
Sônia M. Gomes ◽  
Denise de Siqueira ◽  
Douglas A. Castro
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Elliptic Problems ◽  
Two Dimensional ◽  
Flux Divergence ◽  
Finite Element Approximations
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