Existence and nonexistence of solutions for the mean curvature equation with weights-Reference-Cited by-同舟云学术

Existence and nonexistence of solutions for the mean curvature equation with weights

Published:2024-05-28 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Filippucci Roberta^ORCID,Zheng Yadong

Abstract

AbstractIn this paper we study existence and nonexistence of positive radial solutions of a Dirichlet problem for the prescribed mean curvature operator with weights in a ball with a suitable radius. Because of the presence of different weights, possibly singular or degenerate, the problem under consideration appears rather delicate, it requires an accurate qualitative analysis of the solutions, as well as the use of Liouville type results based on an appropriate Pohozaev type identity. In addition, sufficient conditions for global solutions to be oscillatory are given.

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

China Scholarship Council

Università degli Studi di Perugia

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00208-024-02900-1.pdf

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