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Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian - MaRDI portal

Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian (Q1746181)

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Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian
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    Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian (English)
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    24 April 2018
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    The paper deals with the existence of nonradial sign-changing solutions to a Dirichlet boundary value problem with \(p\)-Laplacian and critical Sobolev exponent on \(\mathbb R^N\). The result was known for \(p=2\).
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    \(p\)-Laplacian
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    critical exponent
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    entire solutions
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    nodal solutions
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    variational methods
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