The Exact number of Solutions of Finite Difference Approximations of Some Nonlinear Elliptic Boundary Value Problems

Henning Wiebers

doi:10.1137/0518073

The Exact number of Solutions of Finite Difference Approximations of Some Nonlinear Elliptic Boundary Value Problems

SIAM Journal on Mathematical Analysis ◽

10.1137/0518073 ◽

1987 ◽

Vol 18 (4) ◽

pp. 954-965

Author(s):

Henning Wiebers

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Elliptic Boundary Value Problems ◽

Number Of Solutions ◽

Elliptic Boundary Value ◽

Finite Difference Approximations ◽

Nonlinear Elliptic ◽

Difference Approximations ◽

Nonlinear Elliptic Boundary

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Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1981.322.74 ◽

1981 ◽

Vol 1981 (322) ◽

pp. 74-117

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Difference Approximations ◽

Nonlinear Elliptic ◽

Difference Approximations ◽

Nonlinear Elliptic Boundary

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Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems

Nonlinear Analysis ◽

10.1016/0362-546x(84)90090-7 ◽

1984 ◽

Vol 8 (5) ◽

pp. 501-515 ◽

Cited By ~ 18

Author(s):

G.S. Ladde ◽

V. Lakshmikantham ◽

A.S. Vatsala

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-015-0237-0 ◽

2015 ◽

Vol 17 (1) ◽

pp. 43-64 ◽

Cited By ~ 2

Author(s):

J. Pejsachowicz

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Bifurcation From Infinity ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary ◽

Index Bundle

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SOLVABILITY OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS USING A PRIORI ESTIMATES

Differential Equations ◽

10.1016/b978-0-12-045550-8.50025-6 ◽

1980 ◽

pp. 235-247

Author(s):

R. Kent Nagle ◽

Karen Singkofer

Keyword(s):

Boundary Value Problems ◽

A Priori Estimates ◽

Elliptic Boundary ◽

Boundary Value ◽

A Priori ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Priori Estimates ◽

Nonlinear Elliptic Boundary

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Positivity of global branches of fully nonlinear elliptic boundary value problems

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1091182-5 ◽

1992 ◽

Vol 115 (4) ◽

pp. 1031-1031 ◽

Cited By ~ 2

Author(s):

Timothy J. Healey ◽

Hansjörg Kielhöfer

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Fully Nonlinear ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1974-0342854-2 ◽

1974 ◽

Vol 190 ◽

pp. 163-163 ◽

Cited By ~ 206

Author(s):

Jean-Pierre Gossez

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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On some nonlinear elliptic boundary value problems

Functional Analysis and its Applications - Lecture Notes in Mathematics ◽

10.1007/bfb0063581 ◽

1974 ◽

pp. 235-247

Author(s):

Peter Hess

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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A singular perturbation approach to nonlinear elliptic boundary value problems

Theory and Applications of Singular Perturbations - Lecture Notes in Mathematics ◽

10.1007/bfb0094740 ◽

1982 ◽

pp. 65-71 ◽

Cited By ~ 1

Author(s):

B. Kawohl

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Perturbation Approach ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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A conjugate gradient approach to nonlinear elliptic boundary value problems in irregular regions

Lecture Notes in Mathematics - Conference on the Numerical Solution of Differential Equations ◽

10.1007/bfb0069120 ◽

1974 ◽

pp. 1-11 ◽

Cited By ~ 9

Author(s):

Richard Bartels ◽

James W. Daniel

Keyword(s):

Boundary Value Problems ◽

Conjugate Gradient ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary ◽

Gradient Approach

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Bifurcation for Nonlinear Elliptic Boundary Value Problems II

Tokyo Journal of Mathematics ◽

10.3836/tjm/1270042527 ◽

1996 ◽

Vol 19 (2) ◽

pp. 387-396 ◽

Cited By ~ 4

Author(s):

Kazuaki TAIRA ◽

Kenichiro UMEZU

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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