Liouville type theorem for quasi-linear elliptic inequality \(\Delta_p u + u^\sigma \leqslant 0\) on Riemannian manifolds

DOI10.1016/j.jmaa.2015.02.080OpenAlexW1967970037WikidataQ115346037 ScholiaQ115346037MaRDI QIDQ2347122

Jia-Cheng Huang

Publication date: 26 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.080

zbMATH Keywords

Liouville type theoremquasi-linear elliptic inequality

Mathematics Subject Classification ID

Partial differential equations (35-XX) Functional analysis (46-XX)

Related Items (1)

Uniqueness of nonnegative solutions to elliptic differential inequalities on Finsler manifolds

Cites Work

• A note on Liouville type theorem of elliptic inequality \(\delta u+u^\sigma\leqslant 0\) on Riemannian manifolds
• Liouville theorems for some nonlinear inequalities
• Towards a unified approach to nonexistence of solutions for a class of differential inequalities
• A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
• Liouville theorems for anisotropic quasilinear inequalities
• Nonexistence of positive solutions of quasilinear equations
• The absence of global positive solutions of quasilinear elliptic inequalities
• Some Liouville theorems for quasilinear elliptic inequalities
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• A sharp \(L^q\)-Liouville theorem for \(p\)-harmonic functions
• Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds
• On the uniqueness of nonnegative solutions of differential inequalities with gradient terms on Riemannian manifolds
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Differential equations on riemannian manifolds and their geometric applications
• On the Existence of Positive Solutions of Semilinear Elliptic Inequalities on Riemannian Manifolds
• On Nonnegative Solutions of the Inequality Δ u + u^σ ≤ 0 on Riemannian Manifolds
• Representation formulae and inequalities for solutions of a class of second order partial differential equations
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