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Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition - MaRDI portal

Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition (Q865275)

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scientific article; zbMATH DE number 5125747
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English
Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition
scientific article; zbMATH DE number 5125747

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    Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition (English)
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    13 February 2007
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    The author deals with a scalar-field equation involving the critical Sobolev exponent under the Robin condition and show the blow-up rate of the large solution. For some range of parameter, the author shows existence of at least two positive solutions.
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    scalar-field equation
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    Sobolev exponent
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    Robin condition
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    positive solution
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