A sharp Liouville principle for $$\Delta _m u+u^p|\nabla u|^q\le 0$$ on geodesically complete noncompact Riemannian manifolds-Reference-Cited by-同舟云学术

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A sharp Liouville principle for $$\Delta _m u+u^p|\nabla u|^q\le 0$$ on geodesically complete noncompact Riemannian manifolds

Published:2021-11-30 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Sun Yuhua,Xiao Jie,Xu Fanheng

Funder

National Natural Science Foundation of China

Natural Sciences and Engineering Research Council of Canada

SBM-Fund of Memorial University of Newfoundland

Fundamental Research Funds for the Central Universities, SYSUFundamental Research Funds for the Central Universities, SYSU

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00208-021-02311-6.pdf

Reference20 articles.

1. Ching, J., Cîrstea, F.: Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term. Anal. PDE 8, 1931–1962 (2015)

2. Cowan, C., Razani, A.: Singular solutions of a p-Laplace equation involving the gradient. J. Differ. Equ. 269, 3914–3942 (2020)

3. Cheng, S.Y., Yau, S.-T.: Differential equations on Riemannian manifolds and their geometric applications. Commun. Pure Appl. Math. 28, 333–354 (1975)

4. Felmer, P., Quaas, A., Sirakov, B.: Solvability of nonlinear elliptic equations with gradient terms. J. Differ. Equ. 254, 4327–4346 (2013)

5. Filippucci, R.: Nonexistence of positive weak solutions of elliptic inequalities. Nonlinear Anal. 70, 2903–2916 (2009)

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1. A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms;Journal d'Analyse Mathématique;2024-09-12

2. Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2022-11-10

3. Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs;Discrete and Continuous Dynamical Systems - S;2022

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