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About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
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Bakytbek Danebekovich Koshanov
Veröffentlicht/Copyright:
20. August 2013
Abstract.
In this paper we find necessary and sufficient conditions for the solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball. We construct the explicit Green function of the Dirichlet problem for the polyharmonic equation in a ball. In particular, we find conditions for the solvability of Neumann problems for the biharmonic, 3-harmonic, 5-harmonic equations.
Received: 2013-04-08
Revised: 2013-07-23
Accepted: 2013-07-23
Published Online: 2013-08-20
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
- Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism
- On some results on approximation of functions in weighted Lp spaces
- Existence of nearly holomorphic sections on compact Hermitian symmetric spaces
Schlagwörter für diesen Artikel
Polyharmonic equations;
Dirichlet problems;
Neumann problems;
integral representation
Artikel in diesem Heft
- Masthead
- About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
- Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism
- On some results on approximation of functions in weighted Lp spaces
- Existence of nearly holomorphic sections on compact Hermitian symmetric spaces
