Two non-zero solutions for elliptic Dirichlet problems (Q344752)
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scientific article; zbMATH DE number 6655840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two non-zero solutions for elliptic Dirichlet problems |
scientific article; zbMATH DE number 6655840 |
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Two non-zero solutions for elliptic Dirichlet problems (English)
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24 November 2016
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Summary: The aim of this note is to point out a two non-zero critical points theorem for differentiable functionals and, as an application, to obtain existence results of two positive solutions for elliptic Dirichlet problems by requiring, in particular, a suitable condition on the nonlinearity which is more general than the sublinearity at zero.
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variational methods
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multiple critical points theorem
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nonlinear elliptic equations
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boundary value problems
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