Iteration procedures of shuttle iteration type in continuous non-monotone problems

DOI10.4171/ZAA/1058zbMath1008.35027OpenAlexW2094923691MaRDI QIDQ1598250

Dmitrii I. Rachinskii

Publication date: 6 April 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1058

zbMATH Keywords

monotone operatornonlinear elliptic boundary value problemscone orderingrobust stable solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Cites Work

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• Regular fixed points and stable invariant subsets of monotone operators
• Zur Theorie der nichtlinearen Integralgleichungen, Integralgleichungssysteme und allgemeinen Funktionalgleichungen
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Potential Bounds in Nonpotential Two-Point Boundary - Value Problems
• Potential bounds in problems on quasilinear elliptic equations
• Elliptic equations with discontinuous nonlinearities

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