Geodesic
Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 473-495

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DOI

In this paper, we focus on a Kirchhoff-type equation with singular potential and critical exponent. By virtue of the generalized version of Lions-type theorem and the Nehari–Pohožaev manifold, we established the existence of Nehari–Pohožaev-type ground state solutions to the mentioned equation. Some recent results from the literature are generally improved and extended.
DOI : 10.4153/S0008439521000436
Mots-clés : Kirchhoff-type equation, Lions-type theorem, Nehari–Pohožaev manifold, singular potential, ground state solution 
Su, Yu; Liu, Senli. Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 473-495. doi: 10.4153/S0008439521000436
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     author = {Su, Yu and Liu, Senli},
     title = {Nehari{\textendash}Poho\v{z}aev-type ground state solutions of {Kirchhoff-type} equation with singular potential and critical exponent},
     journal = {Canadian mathematical bulletin},
     pages = {473--495},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S0008439521000436},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000436/}
}
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