Abstract
The paper deals with semilinear operator equations involving iterates of a strongly monotone symmetric linear operator. In particular there are consider semilinear polyharmonic equations subject to the Navier boundary conditions. A careful analysis is made on the energetic spaces associated to such problems and a number of existence results are obtained by using a fixed point approach.
Authors
Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Keywords
polyharmonic equation, iterates of symmetric linear operators, energetic space
Paper coordinates
R. Precup, Semilinear problems with poly-Laplace type operators, Proceedings of the Romanian Academy Series A, 23 (2022) no. 4, pp. 319-328.
About this paper
Publisher Name
DOI
Print ISSN
1454-9069
Online ISSN
1454-9069
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