典型文献
QUASILINEAR EQUATIONS USING A LINKING STRUCTURE WITH CRITICAL NONLINEARITIES
文献摘要：
It is to establish existence of a weak solution for quasilinear elliptic problems assuming that the nonlinear term is critical.The potential V is bounded from below and above by positive constants.Because we are considering a critical term which interacts with higher eigenvalues for the linear problem,we need to apply a linking theorem.Notice that the lack of compactness,which comes from critical problems and the fact that we are working in the whole space,are some obstacles for us to ensure existence of solutions for quasilinear elliptic problems.The main feature in this article is to restore some compact results which are essential in variational methods.Recall that compactness conditions such as the Palais-Smale condition for the associated energy functional is not available in our setting.This difficulty is overcame by taking into account some fine estimates on the critical level for an auxiliary energy functional.
文献关键词：
中图分类号：
作者姓名：
Edcarlos D.SILVA;Jefferson S.SILVA
作者机构：
Federal University of Goiás,Zip code 74001-970,Goiás-GO,Brazil
文献出处：
引用格式：
[1]Edcarlos D.SILVA;Jefferson S.SILVA-.QUASILINEAR EQUATIONS USING A LINKING STRUCTURE WITH CRITICAL NONLINEARITIES)[J].数学物理学报（英文版）,2022(03):975-1002
A类：
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B类：
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0.543717
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