A Kirchhoff-type problem involving concave-convex nonlinearities
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AbstractA Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution.
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2018 ◽
Vol 61
(2)
◽
pp. 353-369
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2019 ◽
Vol 78
(3)
◽
pp. 878-888
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