A Class of Kirchhoff-Boussinesq Equations Involving Logarithmic and Critical Growth

Santaria Leuyacc Y.R.; Diaz Carlos R. · Mathematical Methods in the Applied Sciences (2026) · DOI: 10.1002/mma.70188

Resumen

This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff-Boussinesq type problems given by, where (Formula presented.) with (Formula presented.) where (Formula presented.) is a bounded smooth domain in (Formula presented.), (Formula presented.), (Formula presented.) for (Formula presented.) and (Formula presented.) for (Formula presented.), while (Formula presented.) is a positive function. We establish the existence of a ground state solution using variational methods. Moreover, we considered both the subcritical case, that is, (Formula presented.), and the critical case, that is, (Formula presented.).

Instituciones: Universidad Nacional Mayor de San Marcos