Liouville's type results for singular anisotropic operators

Abstract

We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with 10p+\left(N-s)\left(p-2)\gt 0 of non-degeneration, which is a purely parabolic shade. Then we break free from this constraint at the price of assuming the solution to be bounded also from above.

Keywords

• anisotropic p-laplacian
• singular elliptic equations
• intrinsic scaling
• harnack estimates
• liouville theorem
• 35b53
• 35j75
• 35d30
• 35b65
• 35j60