Elliptic equations in R2 involving supercritical exponential growth

Leuyacc Y.R.S. · Electronic Research Archive (2024) · DOI: 10.3934/era.2024247

Resumen

In this work, we investigated the existence of nontrivial weak solutions for the equation (Formula presented), where w(x) is a positive radial weight, the nonlinearity f(x, s) possesses growth at infinity of the type (Formula presented), with α0 > 0, 0 < β < 1 and h is a continuous radial function that may be unbounded at infinity. To show the existence of weak solutions, we used variational methods and a new type of the Trudinger-Moser inequality defined on the whole two-dimensional space.

Instituciones: Universidad Nacional Mayor de San Marcos