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Existence of solution for elliptic equations with supercritical Trudinger–Moser growth
Published online by Cambridge University Press: 16 February 2021
Abstract
This paper is concerned with the existence of solutions for a class of elliptic equations on the unit ball with zero Dirichlet boundary condition. The nonlinearity is supercritical in the sense of Trudinger–Moser. Using a suitable approximating scheme we obtain the existence of at least one positive solution.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 152 , Issue 2 , April 2022 , pp. 291 - 310
- Copyright
- Copyright © The Author(s) 2021. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
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