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Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation

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Abstract A class of Kirchhoff-type transmission problems with critical perturbation is studied. Unlike other studies on elliptical equations with critical growth, a ground-state solution is obtained using a perturbation method… Click to show full abstract

Abstract A class of Kirchhoff-type transmission problems with critical perturbation is studied. Unlike other studies on elliptical equations with critical growth, a ground-state solution is obtained using a perturbation method instead of verifying that the mountain pass level is lower than the critical energy, which is used to verify the PS condition.

Keywords: perturbation; transmission problems; critical perturbation; problems critical; type transmission; kirchhoff type

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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