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A positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type

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Publication:1132276
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DOI10.1007/BF01147699zbMath0419.35030MaRDI QIDQ1132276

Andrey A. Amosov

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

stabilityexistenceuniquenesspositive solutionelliptic equationStefan-Boltzmann lawnonlinear integral boundary condition of the radiation type


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)


Related Items (3)

Quasi-Newton iterative solution of non-orthotropic elliptic problems in 3D with boundary nonlinearity ⋮ Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions



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