On the Lazar-McKenna conjecture involving critical and supercritical exponents (Q1027121)
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scientific article; zbMATH DE number 5573047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Lazar-McKenna conjecture involving critical and supercritical exponents |
scientific article; zbMATH DE number 5573047 |
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On the Lazar-McKenna conjecture involving critical and supercritical exponents (English)
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30 June 2009
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The Lazer-McKenna conjecture for the elliptic problem of Ambrosetti-Prody type with critical and supercritical exponent is proved in the work. The proof is based on a construction of solutions concentrating on higher dimensional manifolds, under some symmetry assumptions on the domain.
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elliptic equation
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multiplicity
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reduction metod
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critical exponent
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