Nodal solutions of semi-linear elliptic equations with dependence on the gradient (Q2120955)
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| Language | Label | Description | Also known as |
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| English | Nodal solutions of semi-linear elliptic equations with dependence on the gradient |
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Nodal solutions of semi-linear elliptic equations with dependence on the gradient (English)
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1 April 2022
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The authors prove the existence of a nodal solution for a Dirichlet problem with a nonlinearity depending on the gradient of the solution. The proof relies on extremal constant-sign solutions and on invariant sets of some descending flow.
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\(p\)-Laplacian
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nonlinearity depending on the gradient of the solution
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Dirichlet problem
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existence of a nodal solution
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