Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces-Reference-Cited by-同舟云学术

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

Published:2021-05-07 Issue:8 Volume:149 Page:3407-3416
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Garain Prashanta,Kinnunen Juha

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/earlyview/#proc15417/.pdf

Reference30 articles.

1. On a Dirichlet problem with a singular nonlinearity;Crandall, M. G.;Comm. Partial Differential Equations,1977

2. On a singular nonlinear elliptic boundary-value problem;Lazer, A. C.;Proc. Amer. Math. Soc.,1991

3. Semilinear elliptic equations with singular nonlinearities;Boccardo, Lucio;Calc. Var. Partial Differential Equations,2010

4. Nonlinear elliptic equations with singular nonlinearities;De Cave, Linda Maria;Asymptot. Anal.,2013

5. Existence and uniqueness for 𝑝-Laplace equations involving singular nonlinearities;Canino, Annamaria;NoDEA Nonlinear Differential Equations Appl.,2016

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