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.
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.
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@article{CRMATH_2010__348_3-4_161_0, author = {Pucci, Patrizia and R\u{a}dulescu, Vicen\c{t}iu}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.01.013/} }
TY - JOUR AU - Pucci, Patrizia AU - Rădulescu, Vicenţiu TI - Remarks on a polyharmonic eigenvalue problem JO - Comptes Rendus. Mathématique PY - 2010 SP - 161 EP - 164 VL - 348 IS - 3-4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.01.013/ DO - 10.1016/j.crma.2010.01.013 LA - en ID - CRMATH_2010__348_3-4_161_0 ER -
%0 Journal Article %A Pucci, Patrizia %A Rădulescu, Vicenţiu %T Remarks on a polyharmonic eigenvalue problem %J Comptes Rendus. Mathématique %D 2010 %P 161-164 %V 348 %N 3-4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2010.01.013/ %R 10.1016/j.crma.2010.01.013 %G en %F CRMATH_2010__348_3-4_161_0
Pucci, Patrizia; Rădulescu, Vicenţiu. Remarks on a polyharmonic eigenvalue problem. Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 161-164. doi : 10.1016/j.crma.2010.01.013. http://archive.numdam.org/articles/10.1016/j.crma.2010.01.013/
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