On very weak solutions of \(A\)-harmonic equation with very weak boundary values (Q1599844)
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scientific article; zbMATH DE number 1751420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On very weak solutions of \(A\)-harmonic equation with very weak boundary values |
scientific article; zbMATH DE number 1751420 |
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On very weak solutions of \(A\)-harmonic equation with very weak boundary values (English)
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14 May 2003
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The authors deal with the solutions \(u\) of a quasilinear second-order equation: \[ \text{div} A(x,\nabla u)=0, \] where \(A:\Omega\times \mathbb{R}^N \to \mathbb{R}^N\) satisfies some suitable assumptions. Based on the Hodge decomposition they study existence and uniqueness of very weak solutions.
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quasilinear second-order equation
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Hodge decomposition
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very weak solution
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existence
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uniqueness
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