Ground State And Nodal Solutions For Fractional Kirchhoff Equation With Pure Critical Growth Nonlinearity
Electronic Research Archive, ISSN: 2688-1594, Vol: 29, Issue: 5, Page: 3281-3295
2021
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Article Description
In this paper, we consider the existence of least energy nodal solution and ground state solution, energy doubling property for the following fractional critical problem (formula presented) where k is a positive parameter, LK stands for a nonlocal fractional operator which is defined with the kernel function K. By using the nodal Nehari manifold method, we obtain a least energy nodal solution u and a ground state solution v to this problem when k ≫ 1, where the nonlinear function (formula presented) is a Caratheodory function.
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