A short proof of regularity for solutions to semilinear elliptic problems with exponential critical growth

Lakkis, Omar (1998) A short proof of regularity for solutions to semilinear elliptic problems with exponential critical growth. Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 30 (1-2). pp. 181-183. ISSN 0049-4704

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Abstract

We show that the weak solutions of the elliptic semilinear Dirichlet problem (P) are classical solutions. The proof's simplicity is based on the fact that the nonlinearity is of exponential type, in contrast to nonlinearities of polynomial type.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Omar Lakkis
Date Deposited: 27 Jul 2007
Last Modified: 17 Sep 2019 08:20
URI: http://sro.sussex.ac.uk/id/eprint/1233
Google Scholar:1 Citations

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