Quasilinear Equations in Orlicz–Sobolev Spaces Involving Critical Exponential Growth with Unbounded and Decaying Radial Potentials

Leuyacc Y.R.S. · Mediterranean Journal of Mathematics (2024) · DOI: 10.1007/s00009-024-02736-8

Resumen

This paper concerns with the study of existence of non-trivial solutions to the following quasilinear equation: (Formula presented.) where Φ is a C1-Young function, V and Q are positive radial potentials, and the nonlinearity f possesses maximal exponential growth established by Trudinger–Moser inequalities on Orlicz–Sobolev spaces. Using variational methods, we prove the existence of a weak non-trivial solution. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Instituciones: Universidad Nacional Mayor de San Marcos