Liouville Theorem for Quasilinear Elliptic Equations in ℝN
Wangzhe Wu , Qiqi Zhang
Frontiers of Mathematics ›› 2025, Vol. 20 ›› Issue (5) : 979 -1005.
Liouville Theorem for Quasilinear Elliptic Equations in ℝN
We prove Liouville theorem for the equation Δmv + vp + M∣∇v∣q = 0 in a domain Ω ⊂ ℝn, with M ∈ ℝ in the critical and subcritical case. As a natural extension of our recent work [2023, arXiv:2311.04641], the proof is based on an integral identity and Young’s inequality.
Liouville theorem / quasilinear elliptic equation / p-Laplacian / 35J62
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Peking University
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