Liouville theorems for anisotropic quasilinear inequalities

DOI10.1016/j.na.2008.12.028zbMath1177.35262OpenAlexW2063058192MaRDI QIDQ1017721

Lorenzo D'Ambrosio

Publication date: 12 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.028

zbMATH Keywords

Heisenberg groupquasilinear operatorCarnot groupLiouville theoremsanisotropic operatorquasilinear inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items (25)

A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ The Liouville-type theorem for problems with nonstandard growth derived by Caccioppoli-type estimate ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity ⋮ Uniqueness of nonnegative solutions to elliptic differential inequalities on Finsler manifolds ⋮ Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary ⋮ Entire solutions of quasilinear elliptic systems on Carnot groups ⋮ On properties of solutions of quasilinear second-order elliptic inequalities ⋮ Liouville theorems for elliptic problems in variable exponent spaces ⋮ Liouville's theorem and comparison results for solutions of degenerate elliptic equations in exterior domains ⋮ The Liouville theorem for homogeneous elliptic differential inequalities ⋮ Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds ⋮ The blow-up of critical anisotropic equations with critical directions ⋮ New a priori estimates of solutions to anisotropic elliptic equations ⋮ A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities ⋮ Unnamed Item ⋮ Uniqueness of Solutions of a Class of Quasilinear Subelliptic Equations ⋮ Liouville Type Theorems for Non-linear Differential Inequalities on Carnot Groups ⋮ Absence of solutions for a system of ordinary differential inequalities ⋮ The Liouville theorems for elliptic equations with nonstandard growth ⋮ Boundedness of Solutions to Anisotropic Variational Problems ⋮ Weighted anisotropic Hardy and Rellich type inequalities for general vector fields ⋮ A priori estimates for solutions of anisotropic elliptic equations ⋮ Liouville type results and a maximum principle for non-linear differential operators on the Heisenberg group ⋮ Liouville type theorem for quasi-linear elliptic inequality \(\Delta_p u + u^\sigma \leqslant 0\) on Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp Sobolev asymptotics for critical anisotropic equations
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Nonexistence results for solutions of semilinear elliptic equations
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Gradient estimates for anisotropic elliptic equations
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A Fundamental Solution for a Nonelliptic Partial Differential Operator
• On non-negative solutions of quasilinear elliptic inequalities
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Symmetrization in Anisotropic Elliptic Problems
• Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems

This page was built for publication: Liouville theorems for anisotropic quasilinear inequalities