Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions (Q2891143)
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scientific article; zbMATH DE number 6045966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions |
scientific article; zbMATH DE number 6045966 |
Statements
13 June 2012
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quasilinear elliptic equations
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nonlinear boundary conditions
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Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions (English)
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The paper deals with a quasilinear elliptic problem with the Dirichlet condition on one part of the boundary and a nonlinear Robin condition on the other part. Existence of a weak solution is obtained via Schauder's fixed point theorem after some preliminary results on the Nemytskii operator associated to the nonlinear term in the boundary condition. The uniqueness of solution is also discussed.
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