Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth

In this work, we investigated the existence of nontrivial weak solutions for the equation \begin{document}$ -{\rm div}(w(x)\nabla u) \ = \ f(x,u),\qquad x \in \mathbb{R}^2, $\end{document} where $ w(x) $ is a positive radial weight, the nonlinearity $ f(x, s) $ possesses growth at infinity...

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Bibliographic Details
Main Author: Yony Raúl Santaria Leuyacc
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024247
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