Existence and asymptotic behavior of positive ground state solutions for nonlinear Kirchhoff problems

摘要

We consider the existence of positive ground state solutions to the following equation-(a + b integral(R3) vertical bar del u vertical bar(2) Delta u + V-epsilon (x)u = b(gamma)(x)vertical bar u vertical bar(p) u, u is an element of H-1 (R-3),under some assumptions on V-epsilon(x) and b(gamma)(x), where p. (2, 4) and a, b 0. Moreover, we also study asymptotic behavior of the solutions obtained above as (epsilon, gamma) tends to some fixed point. (c) 2020 Elsevier B.V. All rights reserved.