【摘 要】
：
Symmetry breaking results for optimal functions in critical and subcritical functional inequalities involving weights can be obtained by a local analysis(li
【机 构】
：
Centrenationaldelarecherchescientifique&Universit(e)Paris-Dauphine
【出 处】
：
非线性偏微分方程和数学物理研讨会(NPDEMP 2016)
论文部分内容阅读
Symmetry breaking results for optimal functions in critical and subcritical functional inequalities involving weights can be obtained by a local analysis(linear instability).Symmetry results for optimal functions and rigidity results for solutions of nonlinear elliptic PDEs are by nature global.Nonlinear flows are central for their interpretation.The lecture will be centered on linearization,symmetry breaking and large time asymptotics of the flows on the one hand,and on the role of the flows and their linearization for monotonicity and optimality issues in interpolation inequalities,with and without weights,on the other hand.
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