GRID APPROXIMATION OF SINGULARLY PERTURBED ELLIPTIC EQUATIONS WITH CONVECTIVE TERMS IN UNBOUNDED DOMAINS

Recent Advances in Numerical Methods and Applications II ◽

10.1142/9789814291071_0054 ◽

1999 ◽

Author(s):

GRIGORII I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Unbounded Domains ◽

Singularly Perturbed ◽

Grid Approximation ◽

Equations With Convective Terms

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Grid approximation of singularly perturbed elliptic equations in case of limit zero-order equations degenerating at the boundary

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1990.5.6.523 ◽

1990 ◽

Vol 5 (6) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed ◽

Grid Approximation

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Grid approximation of singularly perturbed elliptic equations with discontinuous boundary conditions

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1989.4.1.69 ◽

1989 ◽

Vol 4 (1) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Boundary Conditions ◽

Elliptic Equations ◽

Singularly Perturbed ◽

Grid Approximation ◽

Discontinuous Boundary

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On Entropy Solutions of Anisotropic Elliptic Equations with Variable Nonlinearity Indices in Unbounded Domains

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05262-0 ◽

2021 ◽

Author(s):

L. M. Kozhevnikova

Keyword(s):

Elliptic Equations ◽

Unbounded Domains ◽

Entropy Solutions ◽

Anisotropic Elliptic Equations

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Grid approximation of singularly perturbed boundary value problem for quasi-linear parabolic equations in the case of complete degeneracy in spatial variables

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1991.6.3.243 ◽

1991 ◽

Vol 6 (3) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Spatial Variables ◽

Grid Approximation ◽

Linear Parabolic Equations

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Singularly perturbed elliptic equations with solutions concentrating on a 1-dimensional orbit

Journal of the European Mathematical Society ◽

10.4171/jems/203 ◽

2010 ◽

pp. 413-427 ◽

Author(s):

Bernhard Ruf ◽

P.N. Srikanth

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Iterative grid methods for singularly perturbed elliptic equations degenerating into zero-order ones

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1993.8.4.341 ◽

1993 ◽

Vol 8 (4) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Bounds of the solution of the Neumann problem for quasi-elliptic equations in unbounded domains

Russian Mathematical Surveys ◽

10.1070/rm1994v049n01abeh002180 ◽

1994 ◽

Vol 49 (1) ◽

pp. 235-236

Author(s):

R V Guseinov

Keyword(s):

Neumann Problem ◽

Elliptic Equations ◽

Unbounded Domains ◽

The Neumann Problem

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Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II

Indiana University Mathematics Journal ◽

10.1512/iumj.2004.53.2400 ◽

2004 ◽

Vol 53 (2) ◽

pp. 297-330 ◽

Author(s):

Antonio Ambrosetti ◽

Andrea Malchiodi ◽

Wei-Ming Ni

Keyword(s):

Elliptic Equations ◽

Existence Of Solutions ◽

Singularly Perturbed

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On Positive Solutions of Semilinear Elliptic Equations in Unbounded Domains

Mathematical Sciences Research Institute Publications - Nonlinear Diffusion Equations and Their Equilibrium States II ◽

10.1007/978-1-4613-9608-6_6 ◽

1988 ◽

pp. 85-122 ◽

Author(s):

P. L. Lions

Keyword(s):

Positive Solutions ◽

Elliptic Equations ◽

Unbounded Domains ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Some recent results about a class of singularly perturbed elliptic equations

CRM Proceedings and Lecture Notes - Singularities in PDE and the Calculus of Variations ◽

10.1090/crmp/044/10 ◽

2008 ◽

pp. 153-164

Author(s):

Andrea Malchiodi

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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