Singular quasilinear equation involving double exponential growth in dimension two

Santaria Leuyacc Y.R. · Rendiconti del Circolo Matematico di Palermo (2026) · DOI: 10.1007/s12215-026-01393-y

Resumen

In this work, we analyze the existence of weak solutions for a singular quasilinear Schrödinger equation in involving nonlinearities of double exponential growth. The equation contains two diffusion terms depending on a weight function w(x), which generates a weighted radial Sobolev space allowing us to consider nonlinearities with double exponential growth. More precisely, the nonlinearity g(x, u) behaves like for large |u|, with. The analysis is developed through the dual approach method, which transforms the original problem into a form suitable for variational techniques. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2026.

Instituciones: Universidad Nacional Mayor de San Marcos