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A unified monotone iterative technique for semilinear elliptic boundary value problems

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Publication:698860
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DOI10.1016/S0362-546X(01)00809-4zbMath1140.35419MaRDI QIDQ698860

Semen Köksal, Vangipuram Lakshmikantham

Publication date: 30 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)


zbMATH Keywords

semilinear elliptic problemmonotone iteration


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)


Related Items

\(k\)th order convergence for semilinear elliptic boundary value problems, \(k\)th order convergence for a semilinear elliptic boundary value problem in the divergence form, Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales.



Cites Work

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  • Generalized quasilinearization and semilinear elliptic boundary value problems
  • Elliptic boundary value problems suggested by nonlinear diffusion processes
  • Existence and uniqueness of positive solutions for some quasilinear elliptic problems
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