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Morse indices of solutions for super-linear elliptic PDE's - MaRDI portal

Morse indices of solutions for super-linear elliptic PDE's (Q2258935)

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Morse indices of solutions for super-linear elliptic PDE's
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    Morse indices of solutions for super-linear elliptic PDE's (English)
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    27 February 2015
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    The paper focuses on a semilinear elliptic equation with homogeneous Dirichlet boundary condition exploring the link between the Morse index and qualitative properties of solutions. Previous results dealing with \(L^\infty\) estimates of the solutions in terms of Morse index are here extended.
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    Morse index
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    elliptic estimates
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    Pohozaev identity
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