On the existence of three solutions for quasilinear elliptic problem (Q2901965)
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scientific article; zbMATH DE number 6062457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of three solutions for quasilinear elliptic problem |
scientific article; zbMATH DE number 6062457 |
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On the existence of three solutions for quasilinear elliptic problem (English)
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31 July 2012
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critical point
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elliptic problem
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minimax inequality
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\(p\)-Laplacian
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three critical points theorem
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weak solution
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0.9554632
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0.95121646
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0.9471849
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0.94553286
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0.94452727
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0.93880904
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This paper deals with a class of quasilinear elliptic problems with Dirichlet boundary condition. The main result establishes that if the two real parameters belong to some prescribed intervals then the problem admits at least three distinct weak solutions. The proof is standard and relies on a recent three critical points theorem of Ricceri.
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