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Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation - MaRDI portal

Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation (Q1582089)

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scientific article; zbMATH DE number 1512496
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Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation
scientific article; zbMATH DE number 1512496

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    Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation (English)
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    29 May 2001
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    The author considers the generalized Laplace equation \[ {\text{div}}(|\nabla u|^{m-2}\nabla u)+ f(|x|,u)=0,\quad x\in \mathbb R^n. \] He shows that under certain assumptions the solutions to the considered equation must possess an infinite number of zeros. The generalized Pokhozhaev identities are also provided.
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    quasilinear elliptic equation
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    Pokhozhaev identity
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