Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth

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
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://sro.sussex.ac.uk/id/eprint/1228
Google Scholar:4 Citations

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