Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces

2020/09/08 by Garain, Prashanta, Kinnunen, Juha · 1 citation
#35A01 #35A15 #35B45 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.03773

Abstract

In this article we consider a variational problem related to a quasilinear singular problem and obtain a nonexistence result in a metric measure space with a doubling measure and a Poincaré inequality. Our method is purely variational and to the best of our knowledge, this is the first work concerning singular problems in a general metric setting.

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• Mixed local-nonlocal p-Laplace equation with variable singular nonlinearity in the Heisenberg group

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