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In this paper, we study some elliptic equation defined in \begin{document}$ \mathbb{R}^2 $\end{document} and involving a nonlinearity with new exponential growth condition including the doubly exponential growth at infinity. For… Click to show full abstract
In this paper, we study some elliptic equation defined in \begin{document}$ \mathbb{R}^2 $\end{document} and involving a nonlinearity with new exponential growth condition including the doubly exponential growth at infinity. For that aim, we start by extending some new Trudinger-Moser type inequalities defined on the unit ball of different classes of weighted Sobolev spaces established by B. Ruf and M. Calanchi to the whole space \begin{document}$ \mathbb{R}^2. $\end{document}
Keywords:
elliptic equation;
new exponential;
growth condition;
growth;
exponential growth
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!