Multi-bump type nodal solutions having a prescribed number of nodal domains: I Solutions nodales de multi-bosse ayant un nombre de domaines nodales prescrites: I
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چکیده
This paper is concerned with analyzing their nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In some cases we provide both upper and lower bounds on the number of nodal domains for these solutions. 2005 Elsevier SAS. All rights reserved. Résumé Cet article concerne l’analyse de la propriété nodale des solutions de multi-bosse changeant de signe, construites par Coti Zelati et Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. Dans certain cas, nous obtenons la borne supérieure et inférieure de nombre des domaines nodales de ces solutions. 2005 Elsevier SAS. All rights reserved.
منابع مشابه
Multi-bump type nodal solutions having a prescribed number of nodal domains: II Solutions nodales de multi-bosses ayant un nombre de domaines nodales prescrites: II
This paper is a sequel to [Liu and Wang, preprint] in which we studied nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In this paper we remove a technical condition that the nonlinearity is odd, which was used in [Comm. Pure Appl. Math. 45 (1992) 1217; Liu and Wang, Multi-bump type nodal solutions havin...
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تاریخ انتشار 2004