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On nonradial singular solutions of supercritical biharmonic equations - MaRDI portal

On nonradial singular solutions of supercritical biharmonic equations (Q312762)

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scientific article; zbMATH DE number 6625604
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On nonradial singular solutions of supercritical biharmonic equations
scientific article; zbMATH DE number 6625604

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    On nonradial singular solutions of supercritical biharmonic equations (English)
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    9 September 2016
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    This paper is mainly concerned with some qualitative properties of nonradial singular solutions for a class of biharmonic problems with supercritical exponent. The authors establish the existence of infinitely many such solutions. Their arguments strongly rely on a gluing method for fourth-order ordinary differential equations. In the reviewer's opinion, the methods developed in this paper can be extended to other classes of nonlinear problems.
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    nonradial solutions
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    biharmonic supercritical equations
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    gluing method
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