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On Stable Weak Solutions to Double-Phase Problems Involving the Grushin Operator
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DOI：10.1002/mma.70709.png)
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Abstract
En 中文
In this paper, we prove Liouville-type theorems for the double-phase problem where satisfy some appropriate conditions at infinity. (resp., ) is Grushin divergence (resp., Grushin gradient). We establish various Liouville-type theorems for nontrivial weak solutions belonging to one of the following classes: stable solutions and finite Morse index solutions (whether unbounded or sign-changing) under certain assumptions. The main methods we use are energy estimation and a Poho & zcaron;aev type identity.
Keywords:
double-phase problem
Grushin operator
Liouville type theorems
stable weak solutions
Journal
M
IF:
1.8
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605
Citations:
0
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