Qualitative properties of ground states for singular elliptic equations with weights

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• 作者：Patrizia Pucci ; Marta Garcí ; a-Huidobro ; Raú ; l Man&aacute ; sevich ; James Serrin
• 关键词：ground states - m-Laplacian operator - weight functions - uniqueness
• 刊名：Annali di Matematica Pura ed Applicata
• 出版年：2006
• 出版时间：January 2006
• 年：2006
• 卷：185
• 期：0
• 页码：S205-S243
• 全文大小：565 KB

文摘

In a series of papers the question of uniqueness of radial ground states of the equation u+f(u)=0 and of various related equations has been studied. It is remarkable that throughout this work (except in very special circumstances) nowhere is a spatially dependent term taken into consideration. Here we shall make a first attempt to study the uniqueness of ground states for such spatially dependent equations and to establish qualitative properties of solutions for this purpose.