Ground state solutions for elliptic Kirchhoff–Boussinesq type problems with supercritical exponential growth

Leuyacc Y.R.S.; Carlos R.D. · Boundary Value Problems (2024) · DOI: 10.1186/s13661-024-01935-2

Resumen

In this work, we are interested in studying the existence of a ground state solution for the problem (Formula presented.) where B is the unit ball in R4, wβ(x)=(loge|x|)β or wβ(x)=(log(1|x|)β for β∈(0,1), 2<p<4 and f:R→R is a superlinear continuous class function with supercritical exponential growth. We utilize the Nehari manifold method to establish the existence result. © The Author(s) 2024.

Instituciones: Universidad Nacional Mayor de San Marcos