On stable solutions to a weighted degenerate elliptic equation with advection terms

DOI10.1134/S0001434622070124zbMath1498.35303OpenAlexW4293374017MaRDI QIDQ2170496

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622070124

zbMATH Keywords

Grushin operator Liouville-type theorems non-existence of stable solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

Unnamed Item
Unnamed Item
Attractors for a class of semi-linear degenerate parabolic equations
On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
Some Liouville theorems for Hénon type elliptic equations
Liouville-type theorems with finite Morse index for semilinear \(\Delta_{\lambda}\)-Laplace operators
Optimal Hardy inequalities for general elliptic operators with improvements
Liouville theorems for semilinear equations on the Heisenberg group
Gelfand type elliptic problem involving advection
On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights
Liouville-type theorem for Kirchhoff equations involving Grushin operators
Global attractor for a semilinear strongly degenerate parabolic equation on \(\mathbb R^N\)
Liouville theorems for stable weak solutions of elliptic problems involving Grushin operator
Existence of solutions to boundary-value problems for semilinear \(\Delta_\gamma\) differential equations
Liouville type theorem for nonlinear elliptic system involving Grushin operator
Stable weak solutions of weighted nonlinear elliptic equations
Stability of entire solutions to supercritical elliptic problems involving advection
Stable solutions of \(-\delta u=e^u\) on \(\mathbb R^N\)
Hardy type inequalities for Δ_λ-Laplacians
On stable entire solutions of semi-linear elliptic equations with weights
Liouville‐type theorem for nonlinear elliptic equations involving p‐Laplace–type Grushin operators
On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications
Nonlinear liouville theorems in the heisenberg group vip the moving plane method
On the classification of solutions to an elliptic equation involving the Grushin operator
A Liouville type theorem for non-linear elliptic systems involving advection terms
Some problems in the theory of quasilinear equations
Liouville type theorems for two elliptic equations with advections
Sur une classe d'opérateurs elliptiques dégénérés
Nonlinear diffusion induced by nonlinear sources
ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD

This page was built for publication: On stable solutions to a weighted degenerate elliptic equation with advection terms