On radially symmetric minima of nonconvex functionals (Q5940329)
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scientific article; zbMATH DE number 1624813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On radially symmetric minima of nonconvex functionals |
scientific article; zbMATH DE number 1624813 |
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On radially symmetric minima of nonconvex functionals (English)
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28 April 2002
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integral functionals
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minima
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non convex problems
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radial solutions
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The author investigates non convex problems related to functionals of the following type NEWLINE\[NEWLINE\int_{B_R} [h(|\nabla u|)- f(|x|) G(u)] dx,NEWLINE\]NEWLINE where \(B_R\) is the ball of radius \(R\) centered at the origin. He first proves, under suitable assumptions, the existence of a radially symmetric solution; then, by strengthening the assumptions, he proves uniqueness. Finally, he gives conditions to prove that these radial solutions solve the Euler equation, precising also in which sense.
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