Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities

DOI10.1016/0022-247X(90)90250-JzbMath0778.65074OpenAlexW2031337878MaRDI QIDQ1813495

Siegfried Carl, Christian Grossmann

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90250-j

zbMATH Keywords

upper and lower solutionsweakly coupled systemsmonotone enclosurenonmonotone nonlinearitiesmonotone iteratione

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities ⋮ Enclosure results for quasilinear systems of variational inequalities ⋮ Doubly coupled systems of parabolic hemivariational inequalities: existence and extremal solutions ⋮ Constant sign and sign changing solutions for systems of quasilinear elliptic equations ⋮ Vector quasi-hemivariational inequalities and discontinuous elliptic systems ⋮ A trapping principle for discontinuous elliptic systems of mixed monotone type ⋮ Variational approach to noncoercive systems of elliptic variational inequalities via trapping region† ⋮ Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type

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