JournalsaihpcVol. 22, No. 5pp. 597–608

Multi-bump type nodal solutions having a prescribed number of nodal domains: I

  • Zhi-Qiang Wang

    Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322, USA

  • Zhaoli Liu

    Department of Mathematics, Capital Normal University, Beijing 100037, PR China
Multi-bump type nodal solutions having a prescribed number of nodal domains: I cover
Download PDF

Abstract

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.

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.

Cite this article

Zhi-Qiang Wang, Zhaoli Liu, Multi-bump type nodal solutions having a prescribed number of nodal domains: I. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 5, pp. 597–608

DOI 10.1016/J.ANIHPC.2004.10.002