Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 29 (2022), No. 2, 361--370Copyright Heldermann Verlag 2022 Indefinite Planar Problem with Exponential Critical Growth Marcelo F. Furtado Dept. of Mathematics, University of Brasilia, Brasilia, Brazil mfurtado@unb.br Karla C. V. Sousa Dept. of Mathematics, University of Brasilia, Brasilia, Brazil karlakcvs@gmail.com [Abstract-pdf] We obtain existence of solution for the equation $$-\Delta u + \frac{1}{2}(x \cdot \nabla u) = a(x)f(u),\quad x\in\mathbb{R}^2,$$ where $a$ is a continuous sign-changing potential and the superlinear function $f$ has an exponential critical growth. Keywords: Exponential critical growth, Trudinger–Moser inequality, variational methods, indefinite problems. MSC: 35J60; 35B33. [ Fulltext-pdf  (114  KB)] for subscribers only.