解的不存在性 Baouendi-Grushin operatorRellich-Pohozaev type identitynon-existence of solutions建立了Baouendi-Grushin算子滿足Hrmander條件的向量場{Z1, …, Z(下標 n), Z(下標 n+1)…Z(下標 n+m)}的Rellich-Pohozaev型恒等式,並證明了半線性Baouendi-rushin方程解的不存在性....
关键词: fundamental solution weighted Baouendi-Grushin type operator Hardy type inequality 基金: Supported by the Natural Science Foundation of Zhejiang Province (Y6090359); Supported by the Natural Science Foundation of Zhejiang Province (Y6090383); Supported by the Department of Education of ...
Lane-Emden equationSobolev exponentJoseph–Lundgren exponentStable outside a compact setIn this paper, we establish a Liouville theorem for solutions to the Lane-Emden equation involving Baouendi-Grushin operator:(Δxu+(α+1)2|x|2αΔyu)=|u|p1u,where(x,y)∈RN=Rm×Rnwithm≥1,n≥1, ...
LAPLACIAN operatorDIFFERENTIAL inequalitiesFINITE groupsMULTIPLICITY (Mathematics)Let $ R_i $, $ i = 1,2 $, be a root system in $ {\\mathbb{R}}^{N_i}\\backslash\\{0\\} $, $ N_i\\geq 1 $, $ W_i = W(R_i) $ be the associated finite reflection group, and $ k_...
The operator is subelliptic degenerating along the vertical direction at x = 0. We exhibit three different situations: (i) the damping region verifies the geometric control condition with respect to both the non-degenerate Hamiltonian flow and the vertical subelliptic flow; (ii) the undamped ...
The operator is subelliptic degenerating along the vertical direction at x=0 x=0 . We exhibit three different situations: (i) the damping region verifies the geometric control condition with respect to both the non-degenerate Hamiltonian flow and the vertical subelliptic flow; (ii) the undamped...
Baouendi-Grushin operatorunique continuationThis paper gives a quantitative control of the order of zero of a weak solution to perturbations of the Baouendi–Grushin operator, which generalizes the result due to Aronszaijn, Krzywicki, and Szarski valid for elliptic operators in divergence form ...
generalized baouendi-grushin operatorpolar coordinatenonexistencesecond order evolution inequalityIn this parer, by using the polar coordinates for the generalized Baouendi-Grushin operator rnL_α=∑ from i=1 to n partial deriv~2/partial deriv x_i~2 + ∑ from i=1 to m |x|~(2...
Grushin operatorpositive solutionsHardy inequalityIn this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations:Ismail KombeMathematics DepartmentMathematische NachrichtenI. KOMBE, Nonlinear degenerate parabolic equations for Baouendi-...
weighted Baouendi-Grushin type operatorHardy type inequalityIn this paper we obtain the fundamental solution for a class of weighted BaouendiGrushin type operator Lp,γ,αu = ▽γ·(|▽γu|p-2ρα▽γu) on Rm+n with singularity at the origin,where ▽γ is the gradient operator ...