On regularity of solutions to an integral system associated with Bessel potentials (Q2885371)
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scientific article; zbMATH DE number 6037658
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On regularity of solutions to an integral system associated with Bessel potentials |
scientific article; zbMATH DE number 6037658 |
Statements
23 May 2012
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regularity lifting
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integral systems
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Bessel potentials
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\(L^{\infty }\) estimate
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Lipschitz continuity estimate
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Sobolev inequality
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positiv solutions
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On regularity of solutions to an integral system associated with Bessel potentials (English)
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The key objective of this paper is to prove \(L^{\infty }\) and Lipschitz continuity of the positive solutions to an integral system associated with the Bessel potentias. The decay estimate for the Bessel kernel at origin and the infinity is employed. The integral system is of special interest since it coincides with a Schrödinger type system of two semi-linear fractional partial differential equations.
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