Liouville's type results for singular anisotropic operators

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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Parabolic equations with $p,q$-growth
Lower semicontinuity of weak supersolutions to nonlinear parabolic equations.
Regularity for elliptic equations with general growth conditions
Local boundedness of minimizers in a limit case
Local regularity for an anisotropic elliptic equation
Liouville-type theorems for certain degenerate and singular parabolic equations
Hölder continuity of solutions to an anisotropic elliptic equation
Growth conditions and regularity. A counterexample
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic $p$-Laplacian type equations
Anisotropic $p$-Laplacian evolution of fast diffusion type
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
Recent developments in problems with nonstandard growth and nonuniform ellipticity
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
Regularity under general and $p,q$-growth conditions
Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations
$L^p$-Liouville theorems for invariant partial differential operators in $\mathbb{R}^n$
Liouville theorems for a class of linear second-order operators with nonnegative characteristic form
Liouville theorems for the solution of a second-order linear parabolic equation with discontinuous coefficients
The boundedness of generalized solutions of elliptic differential equations
An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
Regularity and existence of solutions of elliptic equations with p,q- growth conditions
Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior
An introduction to Barenblatt solutions for anisotropic $p$-Laplace equations
On the local behavior of local weak solutions to some singular anisotropic elliptic equations
On Harnack's theorem for elliptic differential equations
Maximum Principle, Nonhomogeneous Harnack Inequality, and Liouville Theorems forX-Elliptic Operators
Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
Evolution PDEs with Nonstandard Growth Conditions
Level Sets of the Fundamental Solution and Harnack Inequality for Degenerate Equations of Kolmogorov Type
Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion
Parabolic Harnack estimates for anisotropic slow diffusion
Gradient estimates for an orthotropic nonlinear diffusion equation
The impact of intrinsic scaling on the rate of extinction for anisotropic non-Newtonian fast diffusion
On a particular scaling for the prototype anisotropic $p$-Laplacian

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