Abstract

We obtain existence of solution for the equation −Δu−12(x⋅∇u)=a(x)f(u),x∈R2,-\Delta u - \frac{1}{2}(x \cdot \nabla u) = a(x)f(u),\quad x\in\mathbb{R}^2, where aa is a continuous sign-changing potential and the superlinear function ff has an exponential critical growth.

Author information

Contact details are reproduced from the original publication and may be historical.

Marcelo F. Furtado

Dept. of Mathematics, University of Brasília, Brasília, Brazil

mfurtado@unb.br

Karla C. V. Sousa

Dept. of Mathematics, University of Brasília, Brasília, Brazil

karlakcvs@gmail.com

Keywords

  • Exponential critical growth
  • Trudinger–Moser inequality
  • variational methods
  • indefinite problems

Mathematics Subject Classification

35J60; 35B33

Suggested citation

M. F. Furtado, K. C. V. Sousa. “Indefinite Planar Problem with Exponential Critical Growth.” Journal of Convex Analysis 29 (2022), No. 2, 361–370. https://doi.org/10.68381/jca29022

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Published by Heldermann Verlag, 2022. Rights now held by Banach Press.