This Note deals with a nonlinear eigenvalue problem involving the polyharmonic operator on a ball in . The main result of this Note establishes the existence of a continuous spectrum of eigenvalues such that the least eigenvalue is isolated.
On considère un problème non linéaire de valeurs propres associé à l'opérateur poly-harmonique sur une boule dans . Dans cette Note on montre l'existence d'un spectre continu de valeurs propres tel que la valeur propre principale est isolée.
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Patrizia Pucci 1; Vicenţiu Rădulescu 2, 3
@article{CRMATH_2010__348_3-4_161_0, author = {Patrizia Pucci and Vicen\c{t}iu R\u{a}dulescu}, title = {Remarks on a polyharmonic eigenvalue problem}, journal = {Comptes Rendus. Math\'ematique}, pages = {161--164}, publisher = {Elsevier}, volume = {348}, number = {3-4}, year = {2010}, doi = {10.1016/j.crma.2010.01.013}, language = {en}, }
Patrizia Pucci; Vicenţiu Rădulescu. Remarks on a polyharmonic eigenvalue problem. Comptes Rendus. Mathématique, Volume 348 (2010) no. 3-4, pp. 161-164. doi : 10.1016/j.crma.2010.01.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.01.013/
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