scholarly journals On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method

2019 ◽  
Vol 394 ◽  
pp. 732-744
Author(s):  
Martin Vymazal ◽  
David Moxey ◽  
Chris D. Cantwell ◽  
Spencer J. Sherwin ◽  
Robert M. Kirby
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Continuous Galerkin

Existence and Regularity Results for Anisotropic Elliptic Problems

2009 ◽  
Vol 9 (2) ◽  
Author(s):  
Agnese Di Castro
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Bounded Domains ◽  
Existence And Regularity Results ◽  
Regularity Results ◽  
Homogeneous Dirichlet Boundary Conditions

AbstractWe study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.

Multiplicity Results for a Class of Asymptotically Linear Elliptic Problems With Resonance and Applications to Problems With Measure Data

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Alberto Ferrero ◽  
Claudio Saccon
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Dirichlet Boundary Conditions ◽  
Measure Data ◽  
Dirichlet Problems ◽  
Asymptotically Linear ◽  
Multiplicity Results ◽  
Existence And Multiplicity

AbstractWe study existence and multiplicity results for solutions of elliptic problems of the type -Δu = g(x; u) in a bounded domain Ω with Dirichlet boundary conditions. The function g(x; s) is asymptotically linear as |s| → +∞. Also resonant situations are allowed. We also prove some perturbation results for Dirichlet problems of the type -Δu = g

scholarly journals Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Alberto Cabada ◽  
Francisco Julio S. A. Corrêa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Conditions ◽  
Galerkin Method ◽  
Positive Solution ◽  
Dirichlet Boundary ◽  
Existence Of Solutions ◽  
Dirichlet Boundary Conditions ◽  
Dimensional System ◽  
The Galerkin Method

By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal ellipticN-dimensional system coupled with Dirichlet boundary conditions.

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