Existence and multiplicity of solutions for Kirchhoff type problems with parameter (Q2823238)
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scientific article; zbMATH DE number 6634047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity of solutions for Kirchhoff type problems with parameter |
scientific article; zbMATH DE number 6634047 |
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Existence and multiplicity of solutions for Kirchhoff type problems with parameter (English)
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6 October 2016
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Kirchhoff type equation
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weak solution
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critical point
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The authors study Kirchhoff type problems with parameter on a bounded domain NEWLINE\[NEWLINE -M\left( \int_\Omega |\nabla u|^2\, dx \right) \Delta u = \lambda f(x,u) \;\text{ in } \;\Omega; \quad u=0 \;\text{ on } \;\partial\Omega\,. NEWLINE\]NEWLINE By using variational methods, it is proved the existence and multiplicity of weak solutions.
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