Abstract
In a series of papers the question of uniqueness of radial ground states of the equation Δu+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.
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Dedicated to Roberto Conti on the occasion of his 80th birthday
Mathematics Subject Classification (2000)
Primary 35J70, Secondary 35J60
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Pucci, P., García-Huidobro, M., Manásevich, R. et al. Qualitative properties of ground states for singular elliptic equations with weights. Annali di Matematica 185 (Suppl 5), S205–S243 (2006). https://doi.org/10.1007/s10231-004-0143-3
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DOI: https://doi.org/10.1007/s10231-004-0143-3