Generalizations of the Trudinger-Moser inequality to Sobolev-Lorentz spaces with weights are considered. The weights in these spaces allow for the addition of certain lower order terms in theâ€¦ (More)

We consider the following boundary value problem ï£± ï£² ï£³ âˆ’âˆ†u = g(x, u) + f (x, u) x âˆˆ â„¦ u = 0 x âˆˆ âˆ‚â„¦ where g(x, âˆ’Î¾) = âˆ’g(x, Î¾) and g has subcritical exponential growth in R 2. Using the methodâ€¦ (More)