Regular solutions to a monodimensional model with discontinuous elliptic operator (Q446426)
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scientific article; zbMATH DE number 6078133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular solutions to a monodimensional model with discontinuous elliptic operator |
scientific article; zbMATH DE number 6078133 |
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Regular solutions to a monodimensional model with discontinuous elliptic operator (English)
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6 September 2012
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singular elliptic operator
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discontinuity
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facets
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qualitative analysis
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structure of solutions
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This paper examines the existence and uniqueness of a solution and the properties of a solution to the elliptic problem NEWLINE\[NEWLINE{d\over dx}L(u_x)= f \text{ on }[0, 1], \,u(0)= A, \,u(1)= B,NEWLINE\]NEWLINE where \(L\) is a maximal multivalued function defined in the paper. The proof of its existence is established via the Schauder fixed point theorem and a sequential technique.
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