Morse indices of solutions for super-linear elliptic PDE's. (April 2015)

• Record Type: Journal Article
• Authors: Hajlaoui, Hatem; Harrabi, Abdellaziz; Mtiri, Foued
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 180
• Page End: 192
• Publication Date: 2015-04
• Subjects: Morse index -- Elliptic estimates -- Pohozaev identity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.01.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we establish L ∞ estimates for solutions of some general superlinear and subcritical elliptic equations via the Morse index. Our results generalize and improve the previous works (Bahri and Lions, 1992; Yang, 1998).