A Liouville-type theorem for the p-Laplacian with potential term

• In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p = 2), this condition involves comparison of both the functions and of their gradients.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

p-Laplacian

ground state

Liouville theorem

positive solution

MATHEMATICS

MATEMATIK

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)