Multi-bump type nodal solutions having a prescribed number of nodal domains: II
Zhaoli Liu
Department of mathematics, Capital Normal University, Beijing 100037, PR ChinaZhi-Qiang Wang
Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322, USA
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Abstract
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 having a prescribed number of nodal domains: I, Ann. I. H. Poincaré – AN 22 (2005) 597–608] for constructing multi-bump type nodal solutions having a prescribed number of nodal domains.
Résumé
Cet article est la suite de [Liu and Wang, preprint] sur l'analyse de la propriété nodale des solutions des multi-bosses, construites par Coti Zelati et Rabinowitz dans [Comm. Pure Appl. Math. 45 (1992) 1217]. Nous supprimons la condition technique que le terme nonlinéaire impair comme elle est utilisée dans [Comm. Pure Appl. Math. 45 (1992) 1217; Liu and Wang, Multi-bump type nodal solutions having a prescribed number of nodal domains: I, Ann. I. H. Poincaré – AN 22 (2005) 597–608], pour construire des solutions nodales de multi-bosses ayant un nombre de domaines nodaux prescrits.
Cite this article
Zhaoli Liu, Zhi-Qiang Wang, Multi-bump type nodal solutions having a prescribed number of nodal domains: II. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 5, pp. 609–631
DOI 10.1016/J.ANIHPC.2004.10.003