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Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth
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.
History
Publication status
- Published
Journal
Advances in Differential EquationsISSN
1079-9389Issue
6Volume
4Page range
877-906Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2007-08-09Usage metrics
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