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Existence of solution for elliptic equations with supercritical Trudinger–Moser growth
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 152:291-310
- Publication Year :
- 2021
- Publisher :
- Cambridge University Press (CUP), 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.
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 152
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........867cdcb32937cc9cfe775d174f990a2b