Nonlinear fourth-order elliptic equations with nonlocal boundary conditions

DOI10.1016/j.jmaa.2010.07.027zbMath1198.35100OpenAlexW1966273408WikidataQ57438144 ScholiaQ57438144MaRDI QIDQ994304

Yuan-Ming Wang, Chia-Ven Pao

Publication date: 17 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.027

zbMATH Keywords

nonlocal boundary conditionmaximal and minimal solutionsfourth-order elliptic equationmonotone iterationsmethod of upper and lower solutionsmulti-point boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Semilinear elliptic equations (35J61)

Related Items (11)

Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs ⋮ A monotone iterative technique for nonlinear fourth order elliptic equations with nonlocal boundary conditions ⋮ An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems ⋮ A proper orthogonal decomposition-compact difference algorithm for plate vibration models ⋮ Compact difference scheme for <scp>two‐dimensional fourth‐order</scp> nonlinear hyperbolic equation ⋮ Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions ⋮ Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions ⋮ Nonzero positive solutions of a multi-parameter elliptic system with functional BCs ⋮ Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems ⋮ On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions ⋮ Nonzero positive solutions of nonlocal elliptic systems with functional BCs

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