Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem (Q1953689)
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scientific article; zbMATH DE number 6172130
| Language | Label | Description | Also known as |
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| English | Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem |
scientific article; zbMATH DE number 6172130 |
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Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem (English)
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10 June 2013
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Summary: We prove the existence and uniqueness of an entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for \(L^1\)-data. We prove first, by using minimization techniques, the existence and uniqueness of a weak solution when the data is bounded, and by approximation methods, we prove a result of existence and uniqueness of an entropy solution.
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existence
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uniqueness
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entropy solution
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nonlinear anisotropic elliptic equations
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Neumann homogeneous boundary value
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