DOI: 10.68381/jca29022 ISSN: 0944-6532

Indefinite Planar Problem with Exponential Critical Growth

Marcelo F. Furtado, Karla C. V. Sousa
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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, − Δ u − 1 2 ( x ⋅ ∇ u ) = a ( x ) f ( u ) , x ∈ R 2 ,
where
a a
is a continuous sign-changing potential and the superlinear function
f f
has an exponential critical growth.

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