@Article{JPDE-8-2,
author = {Xu, Chaojiang},
title = {Existence of Bounded Solutions for Quasilinear Subelliptic Dirichlet Problems},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {2},
pages = {97--107},
abstract = { This paper proves the existence of solution for the following quasilinear subelliptic Dirichlet problem: {Σ^m_{j=1}X^∗_ja_j(X, v, Xv)+ a_o(x, v, Xv) + H(x,v, Xv) = 0 v ∈ M^{1,p}_0(Ω) ∩ L^∞(Ω) Here X = {X_1 , …, X_m} is a system of vector fields defined in an open domain M of R^n, n ≥ 2, Ω ⊂ ⊂ M, and X satisfies the so-called Hormander's condition at the order of r > 1 on M. M_{1,p}_0(Ω) is the weighted Sobolev's space associated with the system X . The Hamiltonian H grows at most like |Xv|^p.},
issn = {2079-732X},
doi = {https://doi.org/1995-JPDE-5643},
url = {https://global-sci.com/article/88961/existence-of-bounded-solutions-for-quasilinear-subelliptic-dirichlet-problems}
}