Variational method for proving the existence of a nonlocal solution of a boundary value problem for a quasilinear partial differential equation (Q647706)
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scientific article; zbMATH DE number 5978714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational method for proving the existence of a nonlocal solution of a boundary value problem for a quasilinear partial differential equation |
scientific article; zbMATH DE number 5978714 |
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Variational method for proving the existence of a nonlocal solution of a boundary value problem for a quasilinear partial differential equation (English)
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24 November 2011
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In the present paper it is studied the solvability of a boundary value problem for a class of second-order quasilinear differential equations. The main purpose is to prove the existence of nonlocal solutions. The proof relies on variational arguments and consists of establishing the existence of an absolute minimum of the associated energy functional.
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nonlocal solution
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quasilinear equation
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variational methods
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