Bifurcation theory for semi-linear elliptic equations in a two or three dimensional cylindrical domain (Q1340597)
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scientific article; zbMATH DE number 703368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation theory for semi-linear elliptic equations in a two or three dimensional cylindrical domain |
scientific article; zbMATH DE number 703368 |
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Bifurcation theory for semi-linear elliptic equations in a two or three dimensional cylindrical domain (English)
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23 January 1995
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The existence of nontrivial solutions, in a cylindrical domain in \(\mathbb{R}^ 3\), of a parametrized family of semilinear elliptic Dirichlet problems is studied. Bifurcation results are obtained for solutions which are solitary-wave-like, periodic and for nonperiodic solutions which have oscillations at large distances along the cylinder. The analysis concerns values of the parameter close to the first or second eigenvalues of the linearised problem restricted to the cylindrical cross-section.
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semilinear elliptic internal waves
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cylindrical domain
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semilinear elliptic Dirichlet problems
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0.93534017
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0.91643935
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0.91402197
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0.9065822
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