Semilinear problems with poly-Laplace type operators

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
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

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, Volume xx, Number yy/2022, pp.

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Journal

Proceedings of the Romanian Academy

Publisher Name

The publishing house of the Romanian Academy

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