A dual approach in Orlicz spaces for the nonlinear Helmholtz equation (Q903220)
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scientific article; zbMATH DE number 6526480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dual approach in Orlicz spaces for the nonlinear Helmholtz equation |
scientific article; zbMATH DE number 6526480 |
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A dual approach in Orlicz spaces for the nonlinear Helmholtz equation (English)
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5 January 2016
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The author studies a nonlinear Helmholtz equation \(-\Delta u-k^2 u=f(x,u)\) in \(\mathbb{R}^3\). Assuming subcritical growth of \(f\), the existence of infinitely many solutions in an Orlicz space is obtained.
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nonlinear Helmholtz equation
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dual variational method
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Orlicz spaces
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