Boundary value problems and Liouville theorems for semilinear elliptic equations on Riemannian manifolds (Q881194)
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scientific article; zbMATH DE number 5155773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary value problems and Liouville theorems for semilinear elliptic equations on Riemannian manifolds |
scientific article; zbMATH DE number 5155773 |
Statements
Boundary value problems and Liouville theorems for semilinear elliptic equations on Riemannian manifolds (English)
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22 May 2007
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The paper deals with solvability of boundary value problems of Dirichlet type for elliptic equations of the form \[ \Delta u= u\phi(| u| ) \] on noncompact Riemannian manifolds without boundary. Here \(\phi(\xi)\geq0\) is a monotone increasing, continuously differentiable function for \(\xi\in[0,\infty).\)
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semilinear elliptic equation
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Riemannian manifold
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Liouville theorem
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