Lakkis, Omar (1999) Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth. Advances in Differential Equations, 4 (6). pp. 877-906. ISSN 1079-9389
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Abstract
The author considers the semilinear elliptic equation (−)mu = g(x, u), subject to Dirichlet boundary conditions u = Du = · · · = Dm−1u = 0, on a bounded domain R2m. The notion of nonlinearity of critical growth for this problem is introduced. It turns out that the critical growth rate is of exponential type and the problem is closely related to the Trudinger embedding and Moser type inequalities. The main result is the existence of non trivial weak solutions to the problem.
Item Type: | Article |
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Keywords: | Exponential growth, critical exponents, critical growth, elliptic equations |
Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Omar Lakkis |
Date Deposited: | 09 Aug 2007 |
Last Modified: | 13 Mar 2017 12:10 |
URI: | http://srodev.sussex.ac.uk/id/eprint/1228 |
Google Scholar: | 4 Citations |
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