SIGN-CHANGING SOLUTIONS FOR A CRITICAL EXPONENTIAL PROBLEM WITH COMPETING POTENTIALS

Barahona W.; Lapa E.C.; Figueiredo G.M. · Topological Methods in Nonlinear Analysis (2025) · DOI: 10.12775/tmna.2025.025

Resumen

We establish the existence, concentration, and exponential decay of a family of sign-changing solutions for a problem involving exponential critical growth, described by the equation: [Formula In Abstract] To address the lack of compactness and the competition between the potentials, we employ variational methods alongside a suitable truncation of the nonlinearity.

Instituciones: Universidad Nacional Mayor de San Marcos