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supercritical exponential growth

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Existence of solution for elliptic equations with supercritical Trudinger–Moser growth
Part of
Luiz F. O. Faria, Marcelo Montenegro
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 2 / April 2022

Published online by Cambridge University Press:

16 February 2021, pp. 291-310

Print publication:

April 2022
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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.